`int cos^(-3//7)x sin^(-11//7)x dx` is equal toA. `log|sin^(4/7)x|+C`B. `(4)/(7)tan^(4//7)x+C`C. `-(7)/(4)tan^(-4//7)x+C`D. `log|cos^(3//7)x|+C`

`int cos^(-3//7)x sin^(-11//7)x dx` is equal toA. `log|sin^(4/7)x|+C`B

1.	`int cos^(-3//7)x sin^(-11//7)x dx` is equal toA. `log\|sin^(4/7)x\|+C`B. `(4)/(7)tan^(4//7)x+C`C. `-(7)/(4)tan^(-4//7)x+C`D. `log\|cos^(3//7)x\|+C`
Answer» Correct Answer - C (c) `intcos^(-3//7)xsin^(-11//7)xdx=int(sin^(-11//7)x)/(cos^(-11//7)x).sec^(2)xdx` `=int tan^(-11//7)x sec^(2)xdx` `"Put "tanx=t rArr sec^(2)x dx=dt` `therefore" "l=int t^(-11//7)dt=-(7)/(4)tan^(-4//7)x+C`