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I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm not sure what to use as u or dv. We were taught to use uv-integral of (vdu) to do this.

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  1. Calculus

    I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm not sure what to use as u or dv. We were taught to use uv-integral of (vdu) to do this.
  2. Maths

    Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(a-x) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form
  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. Calculus

    How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?
  5. Stats: Joint Density Function

    Let the joint density function of X and Ybe given by: f(x)={kxy^2 for 0
  6. 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
  7. Math

    Evaluate the integral of x*ln(1+x) dx by first making a substitution and then using integration by parts. I let u=1+x and du = dx but then ln(u) du can't integrate to anything?
  8. calculus

    How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!
  9. Statistics

    Question : The length of time(in hundreds The length of time(in hundreds of hours) for the failure of a transistor is a random variable Y with distribution function ; F(Y) = { 0 : if y=0 } Find the probability that the transistor operates for at least 200
  10. 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
  11. Calculus

    "Evaluate the following indefinite integral using integration by parts: *integral sign* tan^-1(x) dx" I let u = tan^-1(x) and dv = dx. Is that right?
  12. Math/Calculus

    Integrate: (2x^2+5)/((x^2+1)(x^2+4)) I came up with: (tan^-1)(x)-(1/2)((tan^-1)(2/x)) but it keeps coming back the wrong answer even though I integrated correctly. Is there a way to simplify this answer, and if so, how? Your answer is correct, but I think
  13. 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
  14. Calculus

    Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the
  15. Calculus

    Which of the following choices will most easily evaluate integral of [L(x)]/P(x) dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function b) Integrate the logarithmic
  16. Quick Calc Question

    I can't remember how to integrate ye^ey with respect to y. Is it (y^2)e^xy? or do i need to do integration by parts? i just cant remember.
  17. calculus

    Use integration by parts to evaluate the integral of x*sec^2(3x). My answer is ([x*tan(3x)]/3)-[ln(sec(3x))/9] but it's incorrect. u=x dv=sec^2(3x)dx du=dx v=(1/3)tan(3x) [xtan(3x)]/3 - integral of(1/3)tan(3x)dx - (1/3)[ln(sec(3x))/3] - [ln(sec(3x))/9]
  18. 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
  19. 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
  20. Integration

    Intergrate ¡ì sec^3(x) dx could anybody please check this answer. are the steps correct? thanks. = ¡ì sec x d tan x = sec x tan x - ¡ì tan x d sec x = sec x tan x - ¡ì sec x tan^2(x) dx = sec x tan x + ¡ì sec x dx - ¡ì sec^3(x) dx = sec x tan x
  21. Competetion help on Integration

    If there four options are given to a Defenite Integration then what shortcut trick we should choose to get the correct answer. Like in Indefinte Integration we find the differtation of the answer to reach the function given to integrate. You can try to
  22. calc

    evaluate the integral: y lny dy i know it's integration by parts but i get confused once you have to do it the second time Leibnitz rule (a.k.a. product rule): d(fg) = f dg + g df y lny dy = d[y^2/2 ln(y)] - y/2 dy ----> Integral of y lny dy = y^2/2 ln(y)
  23. Math/Calculus

    How would I integrate the following by parts: Integral of: (x^2)(sin (ax))dx, where a is any constant. Just like you did x^2 exp(x) below. Also partial integration is not the easiest way to do this integral. You can also use this method. Evaluate first:
  24. calculus

    How do I derive the integration reduction formula for tangent? Integral of (tan x)^n dx = ... I can do the derivations for sin/cosine, but I'm getting stuck on tan. Thanks!
  25. 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...
  26. Calculus II

    Integrate using integration by parts (integral) (5-x) e^3x u = 5-x du = -dx dv = e^3x v = 3e^3x I wonder if this is right so far. = uv - (integral) v du = (5-x)(3e^3x) - (integral) (-3e^3x) =(5-x)(3e^3x) + (integral) (3e^3x) = (5-x)(3e^3x) + 9e^3x + C
  27. Calc ..basic integration

    I forgto how to integrate...its been to long. integration(Sqrt(1+2t^2+t^4))
  28. 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
  29. AP Calculus BC

    Hi! Thank you very much for your help--- I'm not sure what the answer to this is; how do I solve? Find antiderivative of (1/(x^2))[sec(1/x)][tan(1/x)]dx I did integration by parts and got to (1/(x^2))[sec(1/x)] + 2*[antiderivative of (1/(x^3))(sec(1/x))dx]
  30. Calculus

    Explain how you would use the power integration formula to integrate the function f(x) = (1/x^2)-(1/x)+(1/4).
  31. integration i need

    integration i need help integrate:(1-e^x)^5/e^4x..plz show full working
  32. Calculus

    Which of the following functions of x can be integrated with respect to x without integration by parts, and purely using integration by u-substitution and the knowledge of the antiderivative of the tangent function? a) x^2tan(x^2) b) xtan^2(x) c) x^2tan(x)
  33. math

    Taylor series: f(x)=(1/16 +x)^(-1/4) =2-8x+80x^2 -960x^3..... and through differentiation g(x) = (1/16 +x)^(-5/4) =32-640x+11520x^2 but i then need to integrate about 0, h(x)=(1/16 +x)^(3/4) not really sure where to start out the integration one
  34. calculus

    How do you find: the Integral of arcsin(1 / (sqrt x^2 - 1) ) dx ?? (The integral of arcsin of one over the squareroot of x squared minus 1) So far, I've used trig integration to simplify down to arcsin(1/tanb) *secbtanb b is theta Then, I've used
  35. math

    integration by parts - Integration of x^2 ln(x^3+2)
  36. 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....
  37. calc

    also: integral of tan^(-1)y dy how is integration of parts used in that? You write: arctan(y)dy = d[y arctan(y)] - y d[arctan(y)] Here we again have used the product rule: d(fg) = f dg + g df You then use that: d[arctan(y)] = 1/(1+y^2) dy So, the integral
  38. math

    integration of sqrt of tan(x)
  39. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2
  40. 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
  41. maths

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

    integrate by parts integrate (4+x^2)^1/2
  43. 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
  44. Calculus

    Integrate tan^6(x)
  45. 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
  46. 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
  47. Calculus

    xe^x using integration by parts
  48. PHYSICS

    integrate(1/(1+(tan^2008)x)dx) between zero and pi
  49. calculus

    find the indefinite integral: integration of tan^3(7x) dx
  50. 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
  51. Math/Calculus

    How would I evaluate the following integral by using integration by parts? Integral of: (t^3)(e^x)? You mean (x^3)(e^x)? x^3 exp(x) dx = x^3 d[exp(x)] = d[x^3 exp(x)] - exp(x) d[x^3] = d[x^3 exp(x)] - 3 x^2 exp(x) dx So, if you integrate this you get x^3
  52. calculus

    Use integration by parts to find ∫ 2x e-x dx.
  53. Calculus B

    The antiderivative of ln(2x+1) using integration by parts.
  54. Integral Calculus

    Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
  55. Integral Calculus

    Integrate (tan^-1 X)/(1+x²) dx please help, I don't know how to start this one
  56. Calculus I

    Section is Integration by substitution: evaluate the indicated integral. tan 2x dx
  57. Physics

    Hello, I need that someone help me with this excersise. I have to calculate (USING INTEGRATION) the motion ecuation of a particle. The excersise give me the ecuation of the velocity that is v=14t-32 , the initial time t1=3 And the initial position of the
  58. Urgent Math

    Integrate it in step by step applying integration by partial fraction. ∫(x^3)/(x^2+1)dx
  59. Math

    Integrate it in step by step applying integration by partial fraction. ∫(x^2)/(x^2+1)dx
  60. 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
  61. Calculus 2

    integral of xarctanxdx using integration by parts.
  62. Calculus

    Integral of sin2xcos3x using Integration by Parts
  63. Calculus

    Evaluate using Integration by Parts. x^2 cos(3x) dx
  64. calculus

    The antiderivative of arctan(4t)dt by integration of parts.
  65. AP PHYSICS >>>please help

    HOW WOULD YOU integrate this equation between zero and pi/2 1/(1+(tan^2008)xdx
  66. 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
  67. Math-Trigonometry

    Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? For me, the trig identities don't seem to plug in as well. Help is
  68. Python programming

    A standard problem in mathematics is to measure the area under a curve (or to integrate the function defining the curve). A simple way to do this is to approximate the area with a series of rectangles (whose areas are easy to compute). For example, we
  69. maths

    integrate by parts �çx (lnx)^2 dx
  70. differential Equations

    laplace transform of f(t) = t^2 sin (at) use integration by parts
  71. Calculus

    How do I go about integrating sin[x^(1/3)]dx?? I tried doing integration by parts and I'm going in circles.
  72. Calculus

    Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!
  73. brief calc

    evaluate the integral using integration by parts 7xe^-x
  74. CALCULUS

    USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪxe^2x dx
  75. CALCULUS

    USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪx^5 Lnx dx
  76. Calc

    Use integration by parts to evaluate the integral. ∫ from 1 to 4 of (√x) (ln√x) dx Im not really sure what to choose for u and dv. Thank you so much for the help!!
  77. calculus

    USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪ�ãx lnx dx
  78. Cal

    USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪxe^2x dx
  79. calculus

    INTEGRATION BY PARTS... 1) e^5t sin 3t dt 2) xe^3x dx 3) x sec^2 x dx **anybody can help me for this question?
  80. differential Equations

    laplace transform of f(t) = t sin (at) use integration by parts
  81. Calculus

    Use integration by parts to evaluate the integral xsqrt(2x+6)dx.
  82. Math

    How can I evaluate the integral of xln(x)dx by using integration by parts
  83. Calculus

    How to integrate dx/(4-5 sin x) using t-substitution method(i.e. taking tan x/2=t)?
  84. trig

    h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h p ? p a g e = d o n e& l = i m g 4 0 / 1 4 8 / a s d a s d y e . j p g & v i a = m u p l o a d (def of tan theta = a^-1 o)a = o opposite = adjacent tan theta written with respect to
  85. Integration

    1. [integration] (3x+7sin(x))^2 dx i tried 3 different methods of integration but all of my answers are wrong. 2. [Integration]from 0 to 5 (3w-3)/(w+6)dw i divided the numerator by the denominator and then tried to solve the question but im getting the
  86. Calculus

    Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0
  87. math

    for the problem asking to integrate (x^2 - 5x+ 14 )/(x-1) * (x^2+9) I solved getting the answer ln(x-1)-5/3 tan^-1(x/3)however this isn't right. plsee help!
  88. 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
  89. mechanics (calculating plane speed and climb angle

    �Two radar stations A and B, are separated by the distance a = 500 m, track the plane C by recording the angles α and β at 1-second intervals. If three successive readings are t (s) 9 10 11 α 54.80◦ 54.06◦ 53.34◦ β 65.59◦ 64.59◦ 63.62◦
  90. calculus

    The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of
  91. Math Integration

    i keep getting stuck and i think im missing something integrate by parts e^(bx) cos x dx thanks
  92. anti derivative

    please help me find anti derivative of -sinx * cos^2x am i using integration by parts?
  93. Calculus

    First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?
  94. cal

    USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪsquare rootx lnx dx
  95. MATHS

    In the adjoining figure,the parts AC & CB are the part of a minar AC & CB make angle ® & © at the point P. If tan®=1/2, tan©=1/3;find the height of a minar if PB=16metres
  96. calculus

    reverse the order of integration integration 1-e integration 0-lnx dy dx
  97. Calculus

    How do I evaluate this integral: x^9cos(x^5)dx Hint: First make a substitution and then use integration by parts.
  98. Calculus II

    the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n).
  99. Calculus

    I need help solving the integral of t * e^-3t dt I know that I have to solve using integration by parts and so I've let u=t to rid of dt and dv=e^-3t which I believe would yield -(1/3) * e^-3t as v. Am I doing this correctly? Thanks. I appreciate the help.
  100. Calculus

    Use integration by parts to find the given integral: ∫_9^1 (7t - 42)e^(7 - t) = [-28(1 + e^8)] / e^2 Is my answer correct? or... is it.. = -70e^(-2) + 14e^6

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