definite-integral

Question: $\int_{\pi \text{/4}}^{\pi \text{/2}}{{{e}^{x}}(\log \sin x+\cot x)\,dx=}$

1) ${{e}^{\pi /4}}\log 2$

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

3) $\frac{1}{2}{{e}^{\pi /4}}\log 2$

4) $-\frac{1}{2}{{e}^{\pi /4}}\log 2$

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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