cos(x^(3)e^(x))

Evaluate: (i) int((x+1)e^(x))/(cos^(2)(xe^(x)))dx (ii) int x^(2)e^(x)-3cos(e^(x)-3)dx

The curve satisfying the differential equation sin(x^(3))e^(y)dy+3x^(2)cos(x^(3))e^(y)dx=x sin (x^(2))dx C is the constant of integration is lambda sin (x^(3))e^(y)+cos(x^(2))=C . Then, the value of lambda is

The curve satisfying the differential equation sin(x^(3))e^(y)dy+3x^(2)cos(x^(3))e^(y)dx=x sin (x^(2))dx C is the constant of integration is lambda sin (x^(3))e^(y)+cos(x^(2))=C . Then, the value of lambda is

Evaluate the following limit: (lim)_(x->0)(cos(x e^x)-"cos"(x e^(-x)))/(x^3)

int (2x -3 cos x+ e^(x))dx

int(2x - 3 cos x + e^(x))dx .

Find the integral int(2x-3cos x+e^(x))dx

Evaluate: int cos^(3)x. e^(log sin x)dx

int cos^(3)x.e^(log(sin x)) dx is equal to