Anonymous
Anonymous asked in Science & MathematicsMathematics · 4 weeks ago

Find a function f(x), for which the integral could be determined using a basic u-substitution. ?

Having trouble with this problem on my Calc 2 test. 

Attachment image

1 Answer

Relevance
  • 4 weeks ago

    If f(x) were 2x + cosx, which is the derivative of x^2 + sinx, then one could set u = x^2 + sinx.

    ∫ (2x + cosx)/(x^2 + sinx)^(1/2) dx =∫ du/u^(1/2) =2u^(1/2) + c =2(x^2 + sinx)^(1/2) + c

    • Commenter avatarLogin to reply the answers
Still have questions? Get your answers by asking now.