Home
Class 12
MATHS
If int(0)^(2a) f (x) dx = 2 int(0)^(a) ...

If `int_(0)^(2a) f (x) dx = 2 int_(0)^(a) f(x) ` then

A

`f(2a-x) = -f(x)`

B

`f(2a-x) = f(x)`

C

`f(x)` is odd

D

f(x) is even

Text Solution

Verified by Experts

The correct Answer is:
`f(2a-x) = f(x)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 2 MARKS|5 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 3 MARKS|5 Videos

  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 3MARKS|2 Videos

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^(a) f(x) dx + int_(0)^(a) f(2a-x) dx =

int_(a)^(b) f(x) dx =

If f(x)=f(a+x) then show that int_(0)^(2a)f(x)dx=2int_(0)^(a)f(x)dx .

int_(0)^(2a) f(x) dx = 0 if ……… .

If int_(0)^(x) f(t)dt=x^2+int_(x)^(1) t^2f(t)dt , then f'(1/2) is

If int_(0)^(x) f ( t) dt = x + int_(x)^(1) tf (t) dt , then the value of f(1) is

By using the properties of definite integrals, evaluate the integrals Show that int_(0)^(a)f(x)g(x)dx=2int_(0)^(a)f(x)dx , if f and g are defined as f(x)=f(a-x) and g(x)+g(a-x)=4 .