Home
Class 12
MATHS
If f is every where continuous function ...

If f is every where continuous function then `1/c int_(ac)^(bc) f(x/c) dx=`

A

`1/c int_(a)^(b) f(x)dx`

B

`c int_(b)^(a) f(x)dx`

C

`int_(ac^(2))^(bc^(2))f(x)dx`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

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

If f''(x)andf'(x) are continuous on [a,b] then int_(a)^(b)xf''(x)dx=

If f is an odd function then int_(-1)^(1)[|x|+f(x)cosx]dx=

If for a continuous function f(x), int_(-pi)^(t) (f(x)+x)dx=pi^(2)-t^(2) , for all t ge -pi , then f(-(pi)/(3)) is equal to :

If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(x)+g(a-x)=2 then int_(0)^(a)f(x)g(x)dx=

If f be a continuous function on [0,1], differentiable in (0,1) such that f(1) = 0 , then there exists some c in (0,1) such that

int_(-(pi)/(2))^((pi)/(2)) (f(x) + f(-x))(g(x) - g(-x)) dx where f(x) and g(x) are continuous functions on [-(pi)/(2), (pi)/(2)]

int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=

If f(x) and g(x) are continuous functions on the interval [0, 4] satisfying f(x)=f(4-x) and g(x)+g(4-x)=3 and int_(0)^(4) f(x)dx=2 then int_(0)^(4) f(x)g(x)dx=