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int(sin^2x)/(cos^4x)\ dx= 1/3tan^2x+C (...

`int(sin^2x)/(cos^4x)\ dx=` `1/3tan^2x+C` (b) `1/2tan^2x+C` (c) `1/3tan^3x+C` (d) none

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Verified by Experts

Given,`int(sin^2x)/(cos^4x)\ dx`
=`∫tan^2xsec^2xdx`
Put `tanx=t⇒sec^2xdx=dt`
`I=∫t^2dt=t^3/3=tan^3x/3`​
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RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
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  14. int(x^3)/(x+1)\ dx is equal to x+(x^2)/2+(x^3)/3-log|1-x|+C (b) x+(x^...

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