# CALC -- integrals!

3,658 results

### Calc or Pre calc

I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2

### Calc

Evaluate the integral by reversing the order of integration.(2 integrals) 0 to 4 5ex2 dx dy 3y to 12

### Calc

Find the values of C guaranteed by the mean value theorem for integrals. f(x)=x^3 [0,3]

### Calc

Evaluate the integral by reversing the order of integration. (2 integrals) 0 to 8 cube root(y) to 2 8e^(x^4) dx dy

### calc

find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =-1/n sin^n-1xcosx +n-1/n integral sin^n-2 using the formula this is what i got: integral sin^4xdx=-1/4sin^3xcosx+3/4 integral sin^2xdx= -1/2sinxcosx+1/2 integral 1 dx can ...

### calculus

[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25

### MATH

Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.

### AP Calc AB

how do you use rules for integrals? in general, but I'm just looking for examples if possible...this is pretty new so I don't have a very good understanding yet. thanks.

### Calc

Find the Value(s) of C guaranteed by the Mean Value Theorem for Integrals for f(x) =x^3 in the interval [0,3]

### Calc 2 Indefinite Integrals

Can someone help me with these? dx/(x sqrt(x^3 -1) using x^3 = 1/z^2 i.e z^-2/3 it x(third power)- 1 just to be clear. dx/(x(a+bx^n)) using x^n = 1/z i.e. x= z^-1/n Thank You for the help!

### Calc

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9]

### Calculus

Write 2.445353535353... as a fraction I'm learning integrals right now and this is part of the exercises under it. Is there a trick to this? Using integrals? Thank you very much!

### calc

Sketch the regions represented by the following integrals and evaluate them using geometric formulas. 4 integral 1: 2x+3dx 6 integral -2: lx-1l dx (absolute value of x-1

### Calc

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x³ - 4x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

### Maths

What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you

### Calculus indefinite integrals

Evaluate the following indefinite integrals using substitution a) ∫ xsqrt(x^2-7) dx b) ∫ x^(2/3)(1/5x^(5/3)+2)^4 dx

### calculus

There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...

### calculus

There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...

### Calculus (Definite Integrals)

How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x)) and y=0.03x^2, assuming you could not use the absolute value function? a.) 1 b.) 2 c.) 3 d.) 4 e.) 5

### Calc

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck. Thank you so much!!

### MATH 2B Calculus

Consider the area between the graphs x+4y=14 and x+7=y^2. This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals They ask to use two integrals so i put f(x) from -7 to 2 which is correct but for g(x) i put 2 ...

### Math (Integrals) (Basic Integration)

I am given two integrals a and b a) ∫ 1/(1 + x^4) dx b) ∫ x/(1 + x^4) dx The main difference between the two integrals appears to be the "1" and "x" on the numerators. While they both resembles closely to the basic integration of arctan: ∫ du/(a^2 + u^2) = 1/a * arctan(u...

### brief calc

Calculate the total area of the region described. Do not count area beneath the x-axis as negative. Bounded by the curve y = square root of x the x-axis, and the lines x = 0 and x = 16 This is under Integrals, i don't know what i'm doing wrong, please help

### calc II

Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) + (Cx+d)(x-1) = x^2 Ax^2 + 2Ax + A + Bx...

### calculus1

Set up the integrals that can be used to find the area of the region by integrating with respect to X and Y (the region is bounded by y=3x,y=x,y=4-x) Anyone help me set up the integrals??

### Calculus AB

Consider the region bounded by the graphs of the equations x=y^2 and y=3x. Set up 2 integrals, one with respect to x and the other with respect to y, both of which compute the volume of the solid obtained by rotating this region about the x-axis and evaluate the integrals.

### statistics

Suppose that fÈ and fX|È are described by simple closed-form formulas. Suppose that È is one-dimensional but X is high-dimensional. a) Suppose that a specific value x of the random variable X has been observed. Is it true that the calculation of the LMS estimate will always...

### calc

how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...

### Calculus - evaluating integrals

I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))

### Calc 2

a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v = (x^8)/8 It doesn't ...

### Cal

consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral

### Cal

consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral

### Calculus Please Help4

Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...

### calc

I have asked a couple questions about surface integrals but I was not able to fully understand what the person who answered was saying and/or their answer was not correct. If someone could please help me with this problem that would be great! evaluate the surface integral ...

### Calculus Area between curves

Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not b or c. I can't seem to figure out f(x) and g(...

### CALC -- integrals!

2. f(x)=e^x for 0<x<2. Imagine that you have graphed this function in the x-y plane. For each value of x in the domain, erect a square above the curve perpendicular to the x-axis and parallel to the y-z plane where one side runs from the x-axis to the curve. So the ...

### Calculus

Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? What if we just want to "find the integral", without finding ...

### calc volumes

the basse of a solid S is the region enclosed by the graph of y=square root (ln x), the line x=e, and the x-axis. if the cross sections of S perpendicular to the x-axis are squares, then the volume of S is. how do i find the side of the squares. because i got square root(lnx) ...

### double integrals

Combine the following two integrals into one by sketching the region, then switching the order of integration. (sketch the region) im gonna use the S for integral sign..lol SS6ycos(x^3-3x)dxdy+SS6ycos(x^3-3x) And the first integration limits for x are between -1 and y, for y ...

### calc

find the area between the x-axis and the graph of the given function over the given interval: y = sqrt(9-x^2) over [-3,3] you need to do integration from -3 to 3. First you find the anti-derivative when you find the anti-derivative you plug in -3 to the anti-derivative and ...

### Calculus

Hi. How can I integrate 1/(X^3 +1) ? Thank you to anyone who can help me :-) Write 1/(x^3 +1) as 1/[(x+1)(x^2-x+1)] Then use integration by parts, letting dv = dx/(x^2 -x +1) u = 1/(x+1) du = log (x+1) v = (2/sqrt3)arctan[(2x-1)/sqrt3] That should take you to the answer. I ...

### calculus showed work

find the area of the rgion bounded by the graphs of y=x^3-2x and g(x)=-x i drew the graph and half of the graph is above the xaxis and the other half is below the axis. so the integrals i came up with are two because i broke them up and i combined the answers at the end: ...

### Calculus

Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed in two different ways using integrals 1) Compute as a sum of two integrals 2) Compute as a single integral 3) Either way, what is the area? __ So for 1) I rewrote the two to be: x = 4-2y x = y^2-...

### Calculus - Integrals

Consider the region enclosed by the graphs of x=y^2-5 and x=3-y^2 a)Express the area of this region by setting up an integral with respect to x b) Express the area of this region by setting up an integral with respect to y c) Find the area of this region by evaluating one of ...

### math, calculus 2

Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is the value of a, b, c...

### Tan^2 Integrals

I'm having a hard time understanding how to do Integrals involving tan^2. I have two problems: 1. Find the integral of (tan^2 y +1)dy 2. Find the integral of (7tan^2 u +15)du 1. My approach to it is to replace the tan^2 y portion of the problem with sec^2 y -1, but it doesn't ...

### Quick calc question

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

### Quick calc question

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

### Quick calc question

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x square, dx the ...

### Calculus

Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals Interval a to b f(x)= i put 12-x but it's wrong Interval c to b f(x)= i put (x-8)^(1/2) but it's ...

### integrals

integral of (x+6)/5

### Studying for Calc

I have a quiz on derivatives coming up and I really want to do well, but i'm not sure how to go about studying calc. i have no trouble studying for other subjects, but i'm doing poorly in calc and i need to make some changes in my study habits. any suggestions? i usually work ...

### Calculus integrals

(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??

### Calc - Evaluating Integrals

1.) upper bound: pi lower bound: 0 8sinx / sqrt(5-4cosx) dx 2.) upper bound: sqrt 3 lower bound: 0 4x / sqrt(x^2 + 1) dx 3.) upper bound: 1 lower bound: -1 (dx) / (3x-4)

### MATHS

A CONE WAS CONSTRACTED FROM PLASTIC, HAVE A HEIGHT OF 20cm (PART C). THE LID IS MADE UP OF HEMISPHERE HAVE RADIUS 0F 5cm (PART A) AND PYRAMID HAVE VOLUME OF 81,667cm³. THE LID FITS EXACTLY OVER THE CONE. A) CALC. THE VOL. OF PART A. B) CALC. THE VOL. OF PART C. C) CALC. THE ...

### Calculus - Integrals

What is the integral of arctan x?

### Calculus

[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?

### Integrals

Evaluate è R xy dA , where R is the region bounded by x^2 +y^2 <=16 , x>=0 and y>=0

### Integrals calculus

7/x^2-8 does it give you 7ln(x^2-8)

### Pre-Calc/Calc

Which set of parametric equations corresponds to this rectangular equation? y=2x-(x^2 / 10) A. x=4t, y=4t-(t^2 /10) B. x=2t, y=8t-(4t^2/10) C. x=2t, y=4t-(4t^2/10) D. x=.5t, y=2t-(t^2/10) E. x=t, y=t-(t^2/10)

### CALCULUS 2!!! PLEASE HELP!!

I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...

### Calc

I'm creating a "calculu for dummies" project book. I've already done most of it, I'm just stuck on these ones. Thank you! -What is the definition of a derivative? -What does the derivative of a function tell you (in english) ? Then I need an example of the power rule, quotient...

### Integrals

Evaluate the integral of ∫(2x^2 −3)^2 dx

### integrals

why cant we just use power rule for this 1/((x^2+4))^2

### Calc

Can someone help me with this calc problem? lim as x->0 (tan^3 (2x))/(x^3)

### help chem!:/

a) Calc. PH of 0.010 M HF and 0.030 M KF e) calc. PH Zn(OH)2 in wAter

### Pre Calc

Does this: sqrt 3x-4=(x-4)^2-3 Multiply out to: x^4-16x^3+90^2-211x+173 I then need to put it in the graphing calc and see what the roots are.

### mathematics

find value of tan44degrees using integrals

### calculus 2

integrate x^5/(x^2 + sqrt(2)) using a table of integrals

### Math

Evaluate the given indefinite integrals. ∫ (x+2)(2x+3)^1/2

### Diploma Maths

Evaluate the definite integrals ç[-2,0,(e^2+1),x] + ç[0,1,2 cos(x),]

### Calculus

11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx

### calculus

evaluate the definite integrals 1 ∫ root(1+3x) dx 0

### Calculus - Definite Integrals Please Help!

h(x)=∫[-3,sin(x)] (cos(t^3)+t) dt

### CALC -- integrals!

Iodine-131 is used to treat hypo-thyroidism since it is preferentially absorbed by the thyroid and typically involves a total radiation dosage of 10,000,000 millirem. Iodine-131 has a half-life of eight days. 1. Set up the appropriate integral to represent the radiation dosage...

### calculus (limits)

lim h>0 sqrt(1+h)-1/h not sure how to factor this; not allowed to use L'Hopital's Rule. (that isn't taught at my school until Calc II & I'm in Calc I).

### Math

Calculate the area above y=x^2 and to the right of x=y^2 using integrals.

### Calculus - Integrals

Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.

### Calculus

definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx

### Calculus (integrals)

Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.

### Integrals

Find the Integral values of X and Y satisfying the inequality 3x + 5x ¡Ü 15, given that Y >0, Y < 3 and X > 0

### calculus

Use table of integrals to evaluate the integral of x^4 sinxdx.

### Quick calc question

Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the quotient of 1 and the...

### calculus

Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3

### calculus

Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)

### Maths

what is the answer to this question? Indefinite Integrals fct) = 14 sin (7) + 5e ^ - 15t

### Calculus

Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3]

### Calc easy

Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. The answer is -x/6 -(1/72)loge(x^2 +x -...

### Calculus

What is the connection between improper integrals, Riemann sums, and the integral test?

### Integrals

Give a geometric description (including a sketch) of the integral 0∫3 2x − 3x dx .

### Calculus

Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx

### Calculus integrals

Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

### Calculus integrals

Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?

### Math - Antiderivatives/Integrals

Find the function with derivative f′(x)=e^(9x) that passes through the point P=(0,4/9).

### Math (Calculus) Integrals

Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2

### indefinite integrals

integral from 1 to 0 dx/x^1/2 i am unsure on how to even start would the limit still go to infintiy?

### single variable calculus - indefinite integrals

integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution

### calculus

Evaluate the following integrals by using appropriate method : ∫cos ^3 ( 2x-5 )dx help

### definite integrals

integrate [sinx + cosx] from 0 to 2pie, where [ ] represents greatest integer function .