Home
Class 12
MATHS
If f(x) and g(x) are continuous function...

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=`

A

0

B

1

C

2

D

3

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

If int_(0)^(pi) f(tan x) dx= lambda then int_(0)^(2pi) f(tan 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)dx=lambda and int_(0)^(a)f(2a-x)dx=mu then int_(0)^(2a)f(x) dx is equal to

If f(x) and g(x) are be two functions with all real numbers as their domains, then h(x) =[f(x) + f(-x)][g(x)-g(-x)] is:

If f(x)=1-x+x^(2)-x^(3)+x^(4)+….oo then int_(0)^(x)f(x)dx=