Home
Class 12
MATHS
If f(a+b-x)=f(x)," then "int(a)^(b)xf(x)...

If `f(a+b-x)=f(x)," then "int_(a)^(b)xf(x)dx=`

A

`((a+b)/(2))int_(a)^(b)f(x)dx`

B

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

C

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

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
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

If (d)/(dx) f(x) = g(x) then int_(a)^(b) f(x) g(x) dx=

If f(x) satisfies Rolle's theorem for f(x) in [a,b] then int_(a)^(b) f'(x) dx =

If int_(-1)^(4)f(x)dx=4andint_(2)^(4)[3-f(x)]dx=7" then "int_(-1)^(2)f(x)dx=

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(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=

If int_(-3)^(2) f(x)dx= 7/3 and int_(-3)^(9) f(x)dx= - 5/6 then int_(2)^(9) f(x)dx=

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=