` int ( xsinx )dx`

Evaluate: int (a -x )dx

Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

If int_a^b|sinx|dx=8 and int_0^(a+b)|cosx| dx=9 , then find the value of int_a^b xsinx dx .

Evaluate: inte^(xsinx)[xcosx+sinx]dx

Evaluate int_0^pi (xsinx)/(1+cos^2x)""dx

Write a value of intcos^4xsinx\ dx

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. (a) If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. (b) If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. (c) If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. (d) If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: inte^xsinx dx=(e^x)/2(sinx-cosx)+c Statement 2: inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+c

intx^2/(xsinx+cosx)^2dx=-(xsecx)/(xsinx+cosx)+f(x)+c , then f(x) may be (A) sinx (B) xsinx (C) tanx (D) cotx

Evaluate: (a) int(1+sinx+cosx)dx (b) int(2+cosx)dx (c) int (sinx(1+cosx) )dx (d) int(1-2sinx)dx

int cosx . sinx dx