InterviewSolution
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InterviewSolution
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Find`int(sin^6x)/(cos^8x)dxdot`A. `(tan^(6)x)/(6)+C`B. `(tan^(7)x)/(7)+C`C. `(tan^(8)x)/(8)+C`D. None of these |
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Answer» Correct Answer - B We have,`" "l=int(sin^(6)x)/(cos^(8)x)dx` `l=int((sinx)/(cosx))^(6)((1)/(cos^(2)x))dx` `l=int tan^(6)x sec^(2)xdx` Put `tanx=t rArr sec^(2) x dx = dt` `therefore" "l=int t^(6)dt rArr l=(t^(7))/(7)+C` `l=(tan^(7)x)/(7)+C` |
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