What is \int {dx}/{a^{2}\sin^{2}x+b^{2}\cos^{2}x} equal to ? [NDA II 2018]

Correct Answer is : c+1abtan−1(atanxb)

c+ \frac{1}{ab}\tan^{-1}( \frac{a\tanx}{b})

c- \frac{1}{ab}\tan^{-1}( \frac{b\tanx}{a})

c+ \frac{1}{ab}\tan^{-1}( \frac{b\tanx}{a})

NDA Math Indefinite Integrals

Question : 21 of 38

Marks: +1, -0

What is ∫‌‌

a2sin2x+b2cos2x

equal to ?

[NDA II 2018]

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