indefinite-integration

Question: $\int_{{}}^{{}}{\frac{\sin x\cos x}{a{{\cos }^{2}}x+b{{\sin }^{2}}x}dx=}$

1) $\frac{1}{2(b-a)}\log (a{{\cos }^{2}}x+b{{\sin }^{2}}x)+c$

2) $\frac{1}{b-a}\log (a{{\cos }^{2}}x+b{{\sin }^{2}}x)+c$

3) $\frac{1}{2}\log (a{{\cos }^{2}}x+b{{\sin }^{2}}x)+c$

4) None of these

Solution:

Explanation: No Explanation

Integration by substitution

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