Home
Class 12
MATHS
The value of int1^2 {f(g(x))}^(-1)f'(g(...

The value of `int_1^2 {f(g(x))}^(-1)f'(g(x))g'(x)` dx , where g(1)=g(2), is equal to

A

1

B

2

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos
  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Exercise|147 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos
  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of int[f(x)g'(x)-f'(x)g(x)]dx is equal to

If g(1)=g(2), then int_(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

If (d)/(dx)f(x)=g(x), then int f(x)g(x)dx is equal to:

int{f(x)g'(x)-f'g(x)}dx equals

int x{f(x^(2))g'(x^(2))-f'(x^(2))g(x^(2))}dx

Suppose that the function f,g,f', and g' are continuous over [0,1],g(x)!=0 for x in[0,1],f(0)=0,g(0)=pi,f(1)=(2015)/(2),g(1)=1 The value of int_(0)^(1)(f(x)g'(x)(g^(2)(x)-1)+f'(x)-g(x)(g^(2)(x)+1))/(g^(2)(x))dx is equal to

int x{f(x)^(2) g''(x^(2))-f''(x^(2)) g(x^(2))} dx is equal to

If f(x)=|x-1|" and "g(x)=f(f(f(x))) , then for xgt2,g'(x) is equal to