definite-integral

Question: $\int_{-\pi /4}^{\pi /2}{{{e}^{-x}}\sin x\,dx}=$

1) $-\frac{1}{2}{{e}^{-\pi /2}}$

2) $-\frac{\sqrt{2}}{2}{{e}^{-\pi /4}}$

3) $-\sqrt{2}({{e}^{-\pi /4}}+{{e}^{-\pi /4}})$

4) 0

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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