[int(dx)/(sqrt(9-25x^(2))),],[" (a) "sin^(-1)((5x)/(3))+c(b)(1)/(5)sin^(-1)((5x)/(3))+c],[" (c) "(1)/(6)log((3+5x)/(3-5x))+c(d)(1)/(30)log((3+5x)/(3-5x))+c]

int (3^x)/( sqrt( 1- 9^x )) dx is equal to a) (log 3) sin^(-1) (3^x) + C b) (1)/(3) sin^(-1) (3^x) + C c) ((1)/(log 3)) sin^(-1) (3^x) + C d) (1)/(9) sin^(-1) (3^x) +C

int(x^(2)+3)/(x^(6)(x^(2)+1))dx=-(a)/(x)+(b)/(3x^(3))-(d)/(5x^(5))-2tan^(-1)x+c

If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x)) , then (dy)/(dx) is equal to a) (5)/(1+25x^(2)) b) (1)/(1+25x^(2)) c)0 d) (5)/(1-25x^(2))

int(x^(6)+1)/(x^(2)+1)dx is equal (x^(5))/(5)+(x^(3))/(3)+x+c(b)(x^(5))/(5)-(x^(3))/(3)=x+c(x^(5))/(5)-(x^(3))/(3)+(x^(2))/(2)+c(d)(x^(5))/(5)-(x^(3))/(3)+x+c

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

If I=intsqrt((5-x)/(2+x))dx , then I equals a) sqrt(x+2)sqrt(5-x)+3sin^(-1)sqrt((x+2)/(3))+C b) sqrt(x+2)sqrt(5-x)+7sin^(-1)sqrt((x+2)/(7))+C c) sqrt(x+2)sqrt(5-x)+5sin^(-1)sqrt((x+2)/(5))+C d)None of these

Find the integral int(1)/(4x^(2)+12x+5)dx A. (1)/(4)log|(2x+1)/(2x-5)|+C B. (1)/(8)log|(1+2x)/(5-2x)|+C C. (1)/(8)log|(2x-1)/(2x+5)|+C D. (1)/(4)log|(1-2x)/(5+2x)|+C

The value of int x^(5)(x^(10)+x^(5)+1)(2x^(10)+3x^(5)+6)^(1/5)dx is (A) (1)/(6)(2x^(10)+3x^(5)+6)^(1/5)+c (B) (1)/(36)(2x^(15)+3x^(10)+6x^(5))^(6/5)+c (C) (1)/(36)(2x^(15)+3x^(10)+6x^(5))^(11/5)+c (D) x^(15)+3x^(10)+(x^(5))/(5)+c

Prove that int (dx)/sqrt(25-9x^2)=1/3 sin^-1 ((3x)/5)+c

If int (1)/(4 + 5 sin x) " dx "= (1)/(3) log |f (x)| + c then f(x) =