1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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...
  9. 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
  10. 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)
  11. Math

    Find the greatest value of a,so that integrate [x*root{(a^2-x^2)/(a^2+x^2)} ] from 0-a
  12. Calc

    Calculate the area bounded by the x-axis and the function f(x)= -(x-a)(x-b), where a
  13. math

    integrate x(xsin(x)dx from 0 to pi
  14. calculus

    integrate xsin(2x)dx=
  15. 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 +
  16. integrate

    integrate du/3u and integrate x/x^2 dx it might be simple...i just need a head start...tnx
  17. 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
  18. 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.
  19. [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) =
  20. 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
  21. calc

    integrate (3+x)x^(1/2)dx=? please help I have no idea how to integrate this problem
  22. MATHS...PLEASE HELP

    what do you get when you: integrate 10sin^4xcosx dx when you integrate 9x^2e^6x^3 dx
  23. 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!
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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.
  29. 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
  30. math

    i need to integrate: (secx)^4 dx let u = sec x dv =sec^3 x dx Start with this. Then, you will have to deal with the integral of sec. You should be able to solve it after a few steps. Looks a little messy.
  31. maths

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

    integrate by parts integrate (4+x^2)^1/2
  33. 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?
  34. 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
  35. 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
  36. 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
  37. 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
  38. math

    integrate sec^2(3x)(e^(tan3x))
  39. college math

    how do you integrate (cos^2 x)^4
  40. Math

    Integrate: ∫(cos^3⁡ x)^2 dx
  41. Integration need help

    Integrate (6x^2-cos(2x))dx??
  42. math

    integrate Cos^7(2x)
  43. 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!!!!
  44. PLZ integrate

    integrate cos^3x dx tnk U
  45. maths

    integrate -sinx/ã4+cos^2x dx
  46. Math

    Integrate (sin^2(t)+1)/(cos^4(t))dt
  47. Calculus

    Integrate [sinx/(1+cos^2(x))] from pi/2 to pi.
  48. 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
  49. Calculas

    Integrate: Cos^7(2x) Explanation would be helpful
  50. Calculus

    Integrate Cos^7(2x) Explanation would be helpful
  51. Calculus

    How do we integrate [(cosx)^2(nx)(sin(nx))]/[a-(cos(nx))] dx?
  52. 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
  53. Trig Identities

    Why does cos^2(x)= 1/2cos(2x)+1/2? I am trying to integrate, but the answer key says to first rewrite the expression like the above. I don't get how to change cos^2(x) into that. Explain?
  54. Math Integration

    i keep getting stuck and i think im missing something integrate by parts e^(bx) cos x dx thanks
  55. 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
  56. Fourier Sine Series Q

    I have the function f(x) = cos(x) on the interval from 0 to pi and I need to comput the Fourier sine series. I have the integral of cos(x) multiplied by sin(nx), I can't figure out a way to integrate them! The "n" gets in the way, what do I do?
  57. math

    integrate sqrt(2((sin(x))^2 + 50((cos(x))^2 - 10sin(x)cos(x))
  58. calculus

    i have to integrate using u substitution, but i am not sure if i did it correct. çtan^3(5x)sec^2(5x)dx u=5x du=5dx 1/5du=dx 1/5çtan^3(u)sec^2(u)du 1/5tanusec^2u+c 1/5tan(5x)sec^2(5x)+c
  59. calculus

    integrate it by integrating factor (cos^3x)dy/dx +ycosx=sinx
  60. Math

    Solve it showing detail steps..please. Integrate : ∫(cos^3 x)^2 ⁡dx
  61. Calculus

    Can someone help me to integrate by substitution the indefinite integral: (sinx)/ (1+cos(^2)x)?
  62. math

    How do I derive the secant reduction formula? Am I asking this question wrong? Integrate: (sec x)^n dx
  63. 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
  64. Calc

    Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi I set my calculator to graph on the x-axis as a 2pi scale. The two functions appear to cross three times between x = 0 and 2pi. (including 2pi) Now,
  65. Math

    integrate dy/dx=x(y^(1/2))(cos^2(y^(1/2))^2) I know I need to separate, and Iv'e moved dx to the right side with dy on the left. Don't know how to go on.
  66. Math

    Please help me the way through this sum Integrate Cos squared(3x) btwn x=pie/2 andx=0
  67. Math

    integrate (sin^8 x - cos^8 x)/(1 - 2sin^2 x * cos^2 x) w.r.t. x
  68. Calculus

    Use Simpson's rule with n = 4 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) x=1 to 5
  69. calculus very hard help

    integrate:cos^10xdx even with the previous hint a tutor here gave me i still don,t know it
  70. Calc

    How do you solve ∫sin(3x+4)dx? I got the -cos(3x+4) part, but do you have to integrate the 3x+4 too? Does chain rule apply?
  71. calculus help

    integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
  72. Calculus

    Use the trapezoidal rule with n = 5 to approximate. Keep at least 2 decimal places accuracy. Integrate: (cos(x))/(x) from x=1 to 5
  73. Adv Calculus

    Integrate the following indefinite integral: (sin7x)^12 * (cos7x)^3 Hint: sin^2 + cos^2 = 1
  74. 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
  75. maths

    Integrate ( x^2cosx)/(1+sinx)^2 dx with limits form 0 ti pi/4
  76. calculus

    How do I integrate tanx (1+sec^4 x)^3/2 dx My daughter is doing surface area problems, and all the examples assume she knows how to finish it off once we get to the integration....
  77. math

    the question asks to integrate cos(t)/ (5sin(t)+8)^2 the answer i got was xcos(t)/(5sin(t)+8)^2 this is not right i believe there is something wrong with the x in front of the cos.... please heplp
  78. calculus

    We are not going to do that work for you, but will be glad to help you. The unit sphere is the sphere with radius 1 centered in the origin. They give you the coordinates of a vector. Compute the dot product of the vector and the local surface area normal
  79. 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
  80. Calculus

    Integrate (1/2)sin(x^(1/2))dx. I've tried using u-substitution, with u=sin(x^(1/2)). du would then = ((1/2)x^(-1/2))(cos(x^(1/2))). As you can see, this only make the problem more complicated. I don't get what to do. Thank you in advance!
  81. physics

    Calculate the rotational inertia of a wheel that has a kinetic energy of 24,400 J when rotating at 677 rev/min. I know that I = mr^2 and that T = Ia; also I calculated 677rpm to be 70.9 radians/sec. But I don't understand how to integrate KE into this.
  82. Calculus

    Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help.
  83. Mathematics -Integration : to Steve

    But how do we integrate ln|1+tanx| da X=theta =int.[ln|cos x|dx] +int.[sin x| dx ] - int.[ln|cos x| dx] ?
  84. Calculus

    Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus - Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫
  85. possible functions

    How to find all possible functions of f with a given derivative. 1. f'(x) = 2 2. f'(x) = sinx Integrate each function. Remember that there can be an arbitrarcontant C added to each integral. 1. f(x) = x + C 2. f(x) = -cos x + C We haven't learned
  86. physics

    A) Assume the mass of a pendulum is 3kg. Calculate the work done by the pendulum on the mass from 0 degrees to 180 degrees ( you will need to integrate with respects to d(theta ) instead of dx given: the mass at the end of the string experiences a
  87. calculus

    integrate (2/3x^5)
  88. Calculus

    I need to integrate ((e^-x)^2 - (-ex)^2)dx Can someone help?
  89. Calculus

    How do you integrate: 1/(x^2-1) dx ?
  90. math

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

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

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

    integrate the following (3y-7x-3)dx+(7y-3x-7)dy=0
  94. maths

    integrate x^2/(x^4+a^4) dx
  95. college math

    how do you integrate ln(x^2+1)dx?
  96. Calculus

    Integrate the following (x^5 - 2)dx
  97. college math

    how should I integrate 1/(x^2 +1)^5
  98. calculus

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

    integrate 2/((2x-7)^2) from x=4 to 6
  100. Calc

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