`int \ cosx^@dx=` (i) `sin^@x+C` (ii) `pi/180*sin^@x+C` (iii) `180/pi*sin^@x+C` (iv) none of these

If n=2m+1,m in N uu {0}, then int_0^(pi/2)(sin nx)/(sin x) dx is equal to (i) pi (ii) pi/2 (iii) pi/4 (iv) none of these

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

sqrt(3)int_0^pi dx/(1+2sin^2x)= (A) -pi (B) 0 (C) pi (D) none of these

If n=2m+1,m in N uu{0}, then int_(0)^((pi)/(2))(sin nx)/(sin x)dx is equal to (i)pi(ii)(pi)/(2)(iii)(pi)/(4) (iv) none of these

int_-(pi/3)^(pi/3) (x^3cosx)/sin^2xdx= (A) 0 (B) 1 (C) -1 (D) none of these

int_-(pi/3)^(pi/3) (x^3cosx)/sin^2xdx= (A) 0 (B) 1 (C) -1 (D) none of these

(d)/(dx)cos x^(0) = (A) -sin x^(0) (B) -(pi)/(180)sin x^(0) ( C) (pi)/(180)sin x^(0) (D) (2 pi)/(180)sin x^(0)

int((sec^(2)x-7))/(sin^(7)x)dx is equal to (i) (tan x)/(sin^(7)x)+C (ii) (cos x)/(sin^(7)x)+C( iii) (sin x)/(cos^(7)x)+C( iv )(sin x)/(tan^(7)x)+C

(i) int_0^(pi//2) (sin^3x)/(sin^3x+cos^3x) dx (ii) int_0^(pi//2) (cos^3x)/(sin^3x+cos^3x) dx (iii) int_0^(pi//2) (sin^4x)/(sin^4x+cos^4x) dx (iv) int_0^(pi//2) (cos^5x)/(sin^5x+cos^5x) dx (v) int_0^(pi//2) (sin^5x)/(sin^5x+cos^5x) dx

(i) int tan dx=log |secx|+c (ii) int cot x dx=log |sin x|+c (iii) int tan x dx=log |sin x| +c (iv) int tan x dx =-log cos x +c