`intx^(-2//3)(1+x^(1//2))^(-5//3)` dx is equal toA. `3(1+x^(-1//2))^(-1//3)+C`B. `3(1+x^(-1//2))^(-2//3)+C`C. `3(1+x^(1//2))^(-2//3)+C`D. None of the above

`intx^(-2//3)(1+x^(1//2))^(-5//3)` dx is equal toA. `3(1+x^(-1//2))^(-

1.	`intx^(-2//3)(1+x^(1//2))^(-5//3)` dx is equal toA. `3(1+x^(-1//2))^(-1//3)+C`B. `3(1+x^(-1//2))^(-2//3)+C`C. `3(1+x^(1//2))^(-2//3)+C`D. None of the above
Answer» Correct Answer - B `intx^(-2//3).{(x^(1//2))(x^(-1//2)+1)}^(-5//3)dx` `=int x^(-2//3).x^(5//5).(x^(-1//2)+1)^(-5//3)dx` `=intx^(-3//2).(x^(-1//2)+1)^(-5//3)dx` `"Put "x^(-1//2)+1=t` `therefore" "-(1)/(2)x^(-3//2)dx=dt` Then,`" "-2int t^(-5//3)dt=-2.(t^(-2//3))/(-2//3)+C` `=3(x^(-1//2)+1)^(-2//3)+C`