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Is the exercise correct?

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1) how do we deal with Euler when doing subs, example 2e^x .sin(e^x) DX
In this situation if I make u= e^x and du= e^x it would be both:
2u.sin(u) dx
2du.sin(u)

2)the question asks to prove that this definite integral is equal to sqrt3 but I got 1/4
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Wait. I just saw I didn't integrate my sub :(

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