Teaching UP TGT Mock Test Series 2025 Mathematics Integral Calculus Indefinite Integrals

The value of the integral \(\int \frac{cos^3x+cos^5x}{sin^2x+sin^4x}dx\) is 

1
\(sin\ x-6tan^{-1}(sin\ x)+c\)
2
\(sin\ x-{2}{(sin\ x)^{-1}}+c\)
3
\(sin\ x-{2}{(sin\ x)^{-1}}-6tan^{-1}(sin\ x)+c\)
4
\(sin\ x-{2}{(sin\ x)^{-1}}+5tan^{-1}(sin\ x)+c\)
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