`F in dt h ev a l u eofint_0^1logx dxdot`

If f(0)=1,f(2)=3,f(2)=5,t h e nfin dt h ev a l u eof int_0^1xf"(2x)dx

If f(x)={1-|x|,|x|lt=1 0,|x|>1'a n dg(x)=f(x-1)+f(x+1), find the value of int_(-3)^3g(x)dxdot

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

L e tA=int_0^oo(logx)/(1+x^3)dx Then find the value of int_0^oo(xlogx)/(1+x^3)dx in terms of A

T h ev a l u eofint_(-2)^2|1-x^2|dxi s_______

T h ev a l u eofint_0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dxi s pi/4+2log2-tan^(-1)2 pi/4+2log2-tan^(-1)1/3 2log2-cot^(-1)3 (d) -pi/4+log4+cot^(-1)2

: If f(x)={x^2+2,xgeq2 1-x ,x 1, 3-x , xlt=0,t h e nt h ev a l u eoflim_(x->1)f(g(x))i s__

Find the value of int_0^1 2x^3-3x^2-x+1 3dxdot

If f(x)=x+sinx , then find the value of int_pi^(2pi)f^(-1)(x)dxdot