Let inte^(x){f(x)-f'(x)}dx=phi(x). Then ...

Let `inte^(x){f(x)-f'(x)}dx=phi(x)`. Then `inte^(x)*f(x)dx` is a)`phi(x)+e^(x)f(x)` b)`phi(x)-e^(x)f(x)` c)`1/2{phi(x)+e^(x)f(x)}` d)`1/2{phi(x)+e^(x)f'(x)}`

A

`phi(x)+e^(x)f(x)`

B

`phi(x)-e^(x)f(x)`

C

`1/2{phi(x)+e^(x)f(x)}`

D

`1/2{phi(x)+e^(x)f'(x)}`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If f(a+b-x) = f(x), then int_a^b xf(x) dx =

int({f(x)*phi'(x)-f'(x)*phi(x)})/(f(x)*phi(x)){logphi(x)-logf(x)}dx is equal to

If d/(dx) {f(x)}=1/(1+x^2) then d/(dx){f(x^3)} is a) (3x)/(1+x^3) b) (3x^2)/(1+x^6) c) (-6x^5)/(1+x^6)^2 d) (-6x^5)/(1+x^6)

If intxf(x)dx=(f(x))/2 , then f(x) is equal to :

int_0^af(a-x)dx =..... a) int_0^(2a)f(x)dx b) int_-a^af(x)dx c) int_0^af(x)dx d) int_a^0f(x)dx

If int_(-1)^(4) f(x) dx=4 and int_(2)^(4) (3-f(x))dx=7 , then int_(-1)^(2) f(x)dx is a)1 b)2 c)3 d)5

If int_(0)^(a)f(2a-x)dx = m and int_(0)^(a)f(x) dx = n , then int_(0)^(2a)f(x)dx is equal to

f(x)intg(x)dx-int(f'(x)intg(x)dx)dx