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) and then differentiate the answer w.r.t. y.

  1. 👍 0
  2. 👎 0
  3. 👁 139
asked by Febby

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by Febby on April 13, 2007
  2. 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

    asked by Frank on November 30, 2012
  3. 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

    asked by Shenaya on June 8, 2017
  4. 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

    asked by Ashley on March 18, 2019
  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

    asked by Febby-1 on April 13, 2007
  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

    asked by Rajeev on October 16, 2011
  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

    asked by bobby on September 12, 2012
  8. Business

    Your CEO is concerned that too much productivity is lost by having employees call each other, only to be directed to voice mail. He asks you if something can be done to counter this. What do you suggest? a) Integrate Dropbox into

    asked by Amber on August 31, 2019
  9. 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...

    asked by Hannah on February 13, 2009
  10. 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

    asked by bobpursley on December 10, 2006

More Similar Questions