Show that ∫0^(π)/(4) (e^-2x + 2 tan x) dx = (1)/(2) (1 - e^-(π)/(2)) + ln 2

Name: Show that ∫0^(π)/(4) (e^-2x + 2 tan x) dx = (1)/(2) (1 - e^-(π)/(2)) + ln 2
Uploaded: 2023-07-22T09:32:36-08:00
Duration: 21 s
Channel: Numerade
Description: Show that ∫0^(π)/(4) (e^-2x + 2 tan x) dx = (1)/(2) (1 - e^-(π)/(2)) + ln 2

Question

Steven Clarke · Answer

Okay, I want to show this differential is 0 to each one separately. So what I have is D by DX of

Amrita Bhasin · Answer

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Wen Zheng · Answer

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J Hardin · Answer

Here we have an integral of x times tangent squared of x. Let&#x27;s go ahead and use integration my

J Hardin · Answer

This problem is from chapter 7, section 2, problem number 23, in the book Calculus, Early Transc

Question

Show that $\int_0^{\frac{\pi}{4}} (e^{-2x} + 2 \tan x) dx = \frac{1}{2} (1 - e^{-\frac{\pi}{2}}) + \ln 2$

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