definite-integral

Question: The value of the definite integral $\int_{0}^{1}{\frac{dx}{{{x}^{2}}+2x\cos \alpha +1}}$ for $0<\alpha <\pi $ is equal to

1) $\sin \alpha $

2) ${{\tan }^{-1}}(\sin \alpha )$

3) $\alpha \sin \alpha $

4) $\frac{\alpha }{2}{{(\sin \alpha )}^{-1}}$

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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