" (b) "e^(sin^(+)x)

The integral int(sin2x(1-(3)/(2)cosx)dx)/(e^(sin^(2)x+cos^(3)x))= a) e^(sin^(2)x+cos^(3)x)+C b) -e^(-(sin^(2)x+cos^(3)x))+C c) e^(-(sin^(2)x+cos^(3)x)^(2))+C d)None of these

If f(x) = frac{sin^(-1)x}{sqrt (1-x^2)} , g(x)=e^(sin^(-1)x) , then int f(x)g(x) dx =........................ A) e^(sin^(-1)x) (sin^(-1)x-1) + c B) e^( sin^(-1)x) (1- sin^(-1)x) + c C) e^(sin^(-1)x) (sin^(-1)x+1) + c D) -e^(sin^(-1)x) (sin^(-1)x-1) + c

int _ (- pi) ^ (pi) (e ^ (sin x)) / (e ^ (sin x) + e ^ (- sin x)) dx

(d)/(dx){sin^(-1)(e^(x))} is equal to (a) e^(x)sin^(-1)(e^(x)) (b) (e^(x))/(sqrt(1-e^(2x))) (c) (e^(x))/(1-e^(x)) (d) e^(x)cos^(-1)x]]

lim_(x->0) 1/x [int_y ^a)e^(sin^2t) dt-int_(x+y) ^a)e^(sin^2t)dt] is equal to (a) e^(sin^(2)y) (b) sin2ye^(sin^(2)y (c) 0 (d) none of these

Diffrentiate e^(2)x and e^(sin x)

int (sin x * e ^ (cos x) - (sin x + cos x) e ^ (sin x + cos x)) / (e ^ (2sin x) -2e ^ (sin x) +1) dx

If e^(sin x)-e^(-sin x)-4=0, then x=0 (b) sin^(-1){(log)_(e)(2+sqrt(5))}(c)1(d) none of these