indefinite-integration

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

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

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

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

4) ${{b}^{2}}\log ({{a}^{2}}+{{b}^{2}}{{\sin }^{2}}x)+c$

Solution:

Explanation: No Explanation

Integration by substitution

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