22, x² + 1 dx 31 on? + 4) (x² + 25) / tate:

" Prove that " : int(2 sin x +3 cos x)/(3sin x+4 cos x) dx = (18x)/(25) +(1)/(25)log|3s sin x+ 4cosx|c

I = int (dx)/( 4x^(2) + 25)

int (1)/(x^(2) + 8x + 25) dx =

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_-1^1 (17x^5-x^4+29x^3-31x+1)/(x^2+1)dx is equal to (A) 4/5 (B) 5/4 (C) 4/3 (D) 3/4

int_-1^1 (17x^5-x^4+29x^3-31x+1)/(x^2+1)dx is equal to (A) 4/5 (B) 5/4 (C) 4/3 (D) 3/4

Evaluate the following : (i) int sqrt(4 - x^2) dx " " (ii) int sqrt(25 x^2 - 9)dx " " (iii) int sqrt(x^2 + x + 1) dx .