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integrate

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Integral calculus
Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx

calculus
1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary part at the end. 3) First integrate sin(yx) ...

Calc 1
integrate from 0 to pi/4 (sec^2x)/((1+7tanx)^2)^1/3 integrate form pi^2/36 to pi^2/4 (cos(x^1/2))/(xsin(x^1/2))^1/2 integrate from 0 to pi/3 (tanx)/(2secx)^1/2

integrate
integrate du/3u and integrate x/x^2 dx it might be simple...i just need a head start...tnx

Calculus
6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b = 1/2with ?1/(1+t) dt with a = 0, b = 1, and repeat the four steps. a. integrate using a graphing utility b. integrate exactly c. integrate by replacing the integrand with a Taylor series and integrate term ...

calculus 2
Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a<=x<=b then integrate from a to b of f(x)dx is less than or equal to ...

Mathematics-Integration
Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2x-π) } from (0-π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0-π). My thoughts on the question: We know that integrate f(x) dx from (0-a) = integrate f(a-x) dx from (0-a) From that and by sin(2x)=...

calculus help please
dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into the equation, and solve for C. Then find the y for x=2 if y= a^uhttp://math2.org/math/integrals/tableof.htm see exponential functions. dy/dx=2y^2 and if y=-1 when x=1, then when x=2, y=? how do i get x in the equation. do ...

Math Integration
Integrate: f (x)/(2x + 1) dx let f represent integrate sign let u = x, du = dx => dx = du = f (u)/(2u + 1) du = f u (2u + 1)^(-1) du = (1/2)u^2 (ln|2u + 1|) + c = (1/2)x^2 (ln|2x + 1|) + c ...what did I do wrong? The correct answer is (1/2)x - (1/4)ln|2x + 1| + c

Calculus
How do you integrate [(x^2)(cos(2(x^3)))]? I tried to integrate by parts but I'm going in circles yet again...

Calculus AB
Please help me integrate this equation using partial fractions: Integrate [(x^2+5)/(x^3-x^2+x+3)]dx. Thank you very much.

calc
integrate (3+x)x^(1/2)dx=? please help I have no idea how to integrate this problem

plz integrate
how do u integrate 1+u/3u+2u^2 please help me get started ...tnk u

MATHS...PLEASE HELP
what do you get when you: integrate 10sin^4xcosx dx when you integrate 9x^2e^6x^3 dx

Integral calculus
Please can anyone help with the following problems - thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals is using partial integration. So, look ...

PLZ integrate
integrate cos^3x dx tnk U

maths
integrate by parts integrate (4+x^2)^1/2

maths
integrate by parts integrate (4+x^2)^1/2

Calculus Indefinite Intergral
I need help with integrating these two problems. Im stuck. 1. integrate (sin^-1)dx/((1-x^2)^3/2) sin^-1 aka arcsin 2. integrate dx/((1-x^2)^3/2) by using 1/z Any and all help will be appreciated!

calculus
1) Integrate (e^x+x)^2(e^x+1) dx 2) Integrate xe^x2 dx Let u=(e^x+x) du=(e^x +1) dx I will be happy to critique your work or thinking. You are posting work for me to do, and I am not inclined to do that, it will not help you for me to do it. I think I gave you strong hints on ...

integrate
how do i integrate 2u du /u-2+2u^2 so i used subsitution rule? or can i used integration by parts and how? thanks in adnvace

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...

[Calculus] U-substitution for Integrals
Integrate from 1 to 5 of (3x-5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x-5 du = 3 a = 0 b = 12 The original value of the integral is 165888 via calculator here's my last question, and it has to be in terms of u: f(u) = ? (Again, in terms ...

calculus
Integrate sqrt(x^2 + 1) dx over [0,2*pi] I can substitute u=arctan x to get: Integrate (sec u)^3 du over [0,arctan(2*pi)] From there, I'm stuck. (thanks Count Iblis for your last help)

Calculus AB
I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -ln abs(x)+C. But the answer on the answer sheet has an extra +x that I did not account for. Is that a typo or did I integrate incorrectly?

calcus
Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that y=sqrt(x), y=x/2, and ...

Calculus
Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that y=sqrt(x), y=x/2, and ...

Calc
Calculate the area bounded by the x-axis and the function f(x)= -(x-a)(x-b), where a<b and a and b are constants. Please do it out in steps so I can understand it, and try to simplify the final answer and leave it in factored form. Frankly, I would multiply out the ...

math
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!

math
Find the area bounded by the parabola y^2=4x and the line y=2x-4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to know how to get to that.

College Calc 1
Find the area bounded by the parabola y^2=4x and the line y=2x-4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to know how to get to that.

Calc
Problems, once again. 1. Compute the average value of: f(x} = x/(x+3) over the interval [-a,a] 2. Find the area of the region bounded by the graph of: y = 2√(x^2 + 1) X axis Y axis Line x = 1 On the first, integrate, then divide the integral by 2a. On the second, ...

Calculus
dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or integrate both sides...

Math
dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to find the function z. Would I say that z was equal to two separate differentials and integrate the first part of the function with respect to x and the second part with respect to y? z = cosx + x^2 y^2 + x^2 ...

Calculus
integrate t*(t^2 - 1)^(1/3) dt over (0,3) I substitute u = t^2 - 1 du = 2t dt which leads to integrate (1/2) u^(1/3) du over(-1,8) = (3/8) * u^(4/3) over (-1/8) = 3/8 * [8^(4/3) - (-1)^(4/3)] I would guess that (-1)^(4/3) is +1, since the cube root of -1 is -1 and taking that ...

Calculus HELP plz
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable. It is unnecessary. ...

Integrating Factors
I've been working on this hw problem for a while now, but I'm stuck in the integration process. I'm pretty sure I made an error, cause I can't seem to be able to integrate the right side of the equation. Q: (1/(x^(2)+1))y' + xy = 3 using the equation d/dx(ry)=f(x)r(x) I found ...

calculus-integration
integrate -2/xln^4(x)...plz help me..give me an idea on how to start..plz The derivative of the ln(x) function is 1/x and this is multiplying the ln^4(x). You can thus write the integral as: -2 * 1/5 ln^5(x) + constant. is that the answer? wut about the x infront of ln^(x)......

math, calculus 2
Consider the function f(x)=-((x^2)/2)-9. In this problem you will calculate integrate from 0 to 3 of ((-x^2)/2)-9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation inside the brackets is...

Integration of exponents with absolute values
I cannot for the life of me figure this out. Please help me. How do I integrate the function f(x) = 0.1 * e ^ (-0.2 * |x|) from neg. Infinity to pos. Infinity? I seem to only be able to get 0, but the answer is 1. I think it is the |x| that is throwing me off. Please Hlep! ...

Calculus
Calc length of arc of y=ln(x) from x=1 to x=2 ---- So far: Definite Integral over x=(1,2) of sqrt(1 + 1/x) dx 1/x = tan^2 t x = 1/tan^2 t sqrt(1+1/x) = sqrt(1+tan^2 t) = sec t dx = -2 * tan^-3 t * sec^2 t dt Integrate over x=(1,2): sec^3 t / tan^3 t dt Integrate over x=(1,2): ...

resolve the partail fraction and then integrate
resolve the partail fraction and then integrate.3x^2-34x+97/(x-5)^3

physics (mechanics)
Practice problem: A rocket sled for testing equipment under large accelerations starts at rest and accelerates according to the expression: a= (2.8 m/s^3)t + (3.9 m/s^2) How far does the rocket move in the time interval t=0 to t=0.81 s? This is just a practice problem to help ...

calculus-integration!
should i use substitution?? if yes how should should i use it? plz i need some directions? k plz someone?...so far i used trig. substitution. i got a=8, so i used x=asin(è)so according to this substitution i got x=8sin(è) and dx=8cos(è) dè...then i used used the plug them ...

Calculus
Integrate: x/(9+x^4)dx

Calculus
integrate: (x^2 + 1)^k dx

math
integrate: (x^2 + 1)^k dx

calculus
Integrate: dx/(2x^2 + 4x + 7)

calculus
how do you integrate x^2/(9+x^6)

calculus
how do you integrate x^2/(9+x^6)

math
how do you integrate dx/(x^2*(x^2+4)^1/2)?

math
how do you integrate (3x+1)/(x-1)x^2 dx?

calculus
how do you integrate dx/(x^2*(x^2+4)^1/2)

Calc
how do I integrate x^4-3y^3+2y^2? thanks

calculus
integrate (2/3x^5)

Calculus
From 2 to 3, integrate ((x^3)+5)dx/x.

calculus
integrate 2/((2x-7)^2) from x=4 to 6

Calc
Integrate from [0, 1/2]: 1/(4x^2+1)^(3/2) dx

Calculus
Integrate ç (x^3)/ã((x^2)+4) dx

Calculus
integrate x^2+4x+12/(x-2)(x^2+4)

maths
integrate x^2/(x^4+a^4) dx

maths
integrate 2^(3x). 3^(2x) . 5^(x) dx

Calculus
How do you integrate: 1/(x^2-1) dx ?

calc
Integrate 2(x^2)e^g(x) where g(x)=4^(x^3)

math
integrate (x^2 + 2x + 5) / (x - 2)

math
how do you integrate 3-e^1?

Math
Integrate (5x^2 + 3x - 2)/(x^3 + 2x^2)

Calculus
How do you integrate e^(-t/r)?

Calculus
How do you integrate e^(-t/r) dt?

calculus
integrate (e^t + e^-t)²

calculus
integrate (e^t + e^-t)²

calculus
integrate (e^t + e^-t)²

calculus help
Integrate:(3x^5-5)^-3 dx thanks

calculus
(ln(x))^2 dx, integrate.

math
Integrate: y/sqrt(2y+1) dx

math
Integrate: csc x dx

Calculus
How do we integrate xlne^x .

Calculus
How do we integrate 1/lnx.

college math
how do you integrate ln(x^2+1)dx?

calculus
how do you integrate 30x^2/(x-2)(x+3)(x-5)

calculus
how do you integrate 30x^2/(x-2)(x+3)(x-5)

calculus
How do I integrate 1-e^-kt from 0 to infinity?

Calc II
Integrate 3/(Sqrt x^2-16) dx

calculus
How do I integrate [1/(x^2+1)] Thx

calculus
integrate x+5/(x^2+10x+26)

Calc
How do you integrate sin²x?

calculus
integrate xsin(2x)dx=

AP Calculus
integrate |sint(t^2)| dt with 0<t<3

calculus
how to integrate surd (1+4x^2)?

Calculus
How would you integrate x^2/x^2+9 ?

Integration by parts
integrate (e^x-x)^2 dx

Calculus
How do you integrate 3∫(1)/(x²+1)² dx ? Thank you!

Calculus
integrate: (x^2-3)sqrt (x+5)

Calculus
Integrate tan^6(x)

Calculus
Integrate the following (x^5 - 2)dx

math
Integrate x^2/rootx-1..

calculus
integrate the following (3y-7x-3)dx+(7y-3x-7)dy=0

maths
integrate sqrt2/1-3x

maths
integrate 10*e^5t*cos5t.

math
integrate Cos^7(2x)

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