If `intx^5(1+x^3)^(2/3)dx=A(1+x^3)^(8/3)+B(1+x^3)^(5/3)+C ,t h e n` (b) `A=1/8,B=-1/ `A=-1/8,B=1/5` (d) none of these`A=1/4,B=1/5`5`

"If "int x^(5)(1+x^(3))^(2//3)dx=A(1+x^(3))^(8//3)+B(1+x^(3))^(5//3)+c, " then "

If intsec^(4//3)c "cosec"^(8//3)x dx =a(tanx)^(-5//3)+b(tanx)^(1//3)+C , then 5a +b=

If x^(3)+(1)/(x^(3))=110, then x+(1)/(x)=5 (b) 10 (c) 15 (d) none of these

If x^(3)=(1)/(x^(3))=14, then x-(1)/(x)=5 (b) 4(d)3(d)2

int(dx)/(sqrt(sin^(3)x cos^(5)x))=a sqrt(cot x)+b sqrt(tan^(3))x+c then (a)a=-1,b=(1)/(3)(b)a=-3,b=(2)/(3)(c)a=-2,b=(4)/(3)(d) none of these

intdx/((x-1)^(3/4)(x+2)^(5/4))= (A) 4/3((x-1)/(x+2))^(1/4)+c (B) 4/3sqrt((x-1)/(x+2))+c (C) 4/3((x+2)/(x-1))^(1/4)+c (D) none of these

If (4b^(2)+(1)/(b^(2)))=2, then (8b^(3)+(1)/(b^(3)))=? (a) 0 (b) 1 (c) 2 (d) 5

1(3)/(4)-1(1)/(5)+1(5)/(8)=?( a) 2(7)/(40) (b) (7)/(40) (c) 9(5)/(8)(d)10(7)/(8) (e) None of these

If (5/3)^(-5)xx(5/3)^(11)=(5/3)^(8x) , than x=? (a) -1/2 (b) -3/4 (c) 3/4\ \ (d) 4/3