Evaluate `int (1-u)sqrtu du`

int(1)/(sqrt(u))du

Evaluate int (du)/(1+sinu+cosu)

If u and v are two functions of x then prove that : int uv dx = u int v dx - int [ (du)/(dx) int v dx ] dx Hence, evaluate int x e^(x) dx

Evaluate : (a) int_(u)^(upsilon)dv = int_(0)^(t)adt (b)int_(0)^(s)ds=int_(0)^(t)udt+int_(0)^(t)adt (c) int_(u)^(upsilong)udv=int_(0)^(s)ads

int_(2)^(3)u sqrt(5-u)du

Evaluate: a. int_1^2x^3dx , b. int_u^vmvdv c. int_3^4(1/x)dx , d. int_4^9sqrtxdx e. int_0^(pi//4)cos2xdx

Find the value of int_(u)^(v)Mvdv

int (du) / (u sqrt (u ^ (2) -1))

If u_(10)=int_(0)^(10)x^(10)sin xdx, then the value of u_(10)+90u_(8) is :