# CALC -- integrals!

3,556 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

**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**

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 ...

**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: ...

**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

**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)

**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**

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)

**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 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...

**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)

**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

**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**

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.

**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...

**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.

**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).

**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 .

**math**

integral of y^3/(y^4 +1) dy I don't get how you get (1/4) ln(y^4 +1) out of this. I thought you would do the quotient rule. but is that the same for integrals as it is the derivatice? help!

**Calculus**

Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]

**Calculus - Integrals**

The region bounded by y=x^2, x=y^2 is rotated about the line y=-3. The volume of the resulting solid is:

**College Calculus**

Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!

**Applications of definite integrals**

find the area of the region bounded by the parabola y^2= 16x and its latus rectum

**Calculus**

Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.