SOLUTION: Evaluate the integral form 0 to pi/4 of sec^2(x)*e^(tanx) with respect to x, using the substitution u=tanx I got e, I don't understand how this is incorrect?

Question 1143134: Evaluate the integral form 0 to pi/4 of sec^2(x)*e^(tanx) with respect to x, using the substitution u=tanx
I got e, I don't understand how this is incorrect?
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.


The derivative of tan(x) is  sec^2(x).


Therefore, the integral from  0  to    of  , after substitution  u = tan(x) becomes


the integral from  0  to  1  of  .


The last integral is   = e - 1.    ANSWER.


The correct answer  is  e-1.

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