If `f(x)=x^(3)+3x+4,` then the value of `int_(-1)^(1)f(x)dx+int_(0)^(4)f^(-1)(x)dx` equals

Let y=f(x)=4x^(3)+2x-6 , then the value of int_(0)^(2)f(x)dx+int_(0)^(30)f^(-1)(y)dy is equal to _________.

Let a gt 0 and f(x) is monotonic increase such that f(0)=0 and f(a)=b, "then " int_(0)^(a) f(x) dx +int_(0)^(b) f^(-1) (x) dx is equal to

If f(x)=min_(1){|x-1|,|x|,|x+1|, then the value of int_(-1)^(1)f(x)dx is equal to

Let f(x) be a real valued function such that f(x)=f((121)/(x)),AA x>0. If int_(1)^(11)(f(x))/(x)dx=5, then the value of int_(1)^(121)(f(x))/(x)dx is equal to

If f:R rarr R,f(x)=x+sin x, then value of int_(0)^( pi)(f^(-1)(x))dx equals

If f(0)=0, f(3)=3 and f'(3)=4 , then the value of int_(0)^(1)xf'' (3x)dx is equal to

Let f(x)=minimum{|x|,1-|x|,(1)/(4)} for x varepsilon R then the value of int_(-1)^(1)f(x)dx is equal to

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

If f(x) satisfies f(x)+f(3-x)=3 AA x in R , then the value of integral I=int_((3)/(4))^((9)/(4))f(x)dx is equal to

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to