Engineering Board Exam Reviewer · Integration by Substitution · easy

Evaluate: exe2 x + 1,dx

  1. ≤ft(e2 x + 1 )2+C
  2. ≤ft(e2 x )2+C
  3. ≤ft(ex )+C
  4. ex ≤ft(ex )+C

Answer

C. ≤ft(ex )+C

Solution

Let u=ex, du=ex,dx. Then /1+u2= (ex)+C.

More Integration by Substitution questions

  1. Evaluate: x 1 - x4,dx (for 0<x<1)
  2. Evaluate: x3 x2 + 4,dx
  3. Evaluate: x≤ft(x + 1 )3,dx
  4. Evaluate: x + 1x2 + 2 x + 5,dx
  5. Evaluate: ≤ft( x )3x,dx (assume x>0)
  6. Evaluate: esqrt(x)sqrt(x),dx
  7. Evaluate: xsqrt(x2+9),dx
  8. Evaluate: 2/(x3+1)2,dx
  9. Evaluate: x 3x,dx
  10. Evaluate: x/x,dx

All Integration by Substitution questions