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?
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-> 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?
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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(52835) (Show Source):
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.
