`int(1-(x^(2))/(2!)+(x^(4))/(4!)-......)dx=`
A) `sin x+c`
B) `-sin x+c`
C) `cos x+c`
D) `-cos x+c`

int(sin((5x)/2))/(sin((x)/(2))) dx is euqal to (A) x + 2 sin x + sin 2x +C (B) x +2 cos x + sin 2x +C (C) x - 2sin x + sin 2x +C (D) x + 2 sin x - sin 2x + C

int(sin^3x+cos^3x)/(sin^2xcos^2x)dx (A) sinx+cosx+c (B) tanx+cotx+c (C) secx-cosecx+c (D) sinx-cosx+c

int(1)/((sin x-2 cos x) (2 sin x+c osx))dx

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

int sqrt(1+sin2x)dx(A)cos x+sin x+C(B)cos x-sin x+C(C)-cos x+sin x+C(D)-cos x-sin x+C

int (1) / (sin ^ (4) x + sin ^ (2) x cos ^ (2) x + cos ^ (4) x) dx

If int(cos^(4)x)/(sin^(2)x)dx=A cot x +B sin 2x +(C)/(2)x+D , then

The value of the integral int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx is (A) sin x-6tan^(-1)(sin x)+C(B)sin x-2(sin x)^(-1)+C(C)sin x-2(sin x)^(-1)+6tan^(-1)(sin x)+C(D)sin x-2(sin x)^(-1)+5tan^(-1)(sin x)+C

If int ( cos x - sin x )/( sqrt(8 - sin 2x ))dx = a sin^(-1) (( sin x + cos x )/(b)) +c , where c is a constant of integration, then the ordered pair (a, b) is equal to :

Solution of differential equation (2x cos y + y ^ (2) cos x) dx (2y sin xx ^ (2) sin y) dx = 0 is (a) x ^ (2) cos y + y ^ (2) sin x = C (b) x cos yy sin x = C (c) x ^ (2) cos ^ (2) y + y ^ (2) sin ^ (2) x = C (d) x cos y + y sin x = C