Home
Class 12
MATHS
If phi (x)=f(x)+x f'(x), then the value...

If `phi (x)=f(x)+x f'(x)`, then the value of `int phi (x) dx` is -

Text Solution

Verified by Experts

The correct Answer is:
xf(x)+c
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=|x-1| , then the value of int_(0)^(2)f(x) dx is -

If f(-x)=-f(x) , then the value of int_(-a)^af(x)dx is equal to

If (d)/(dx)f(x)=g(x) , then the value of int_(a)^(b)f(x)g(x)dx is -

If (d)/(dx)log(x^(2)-5)=(phi(x))/(x^(2)-5) , then the value of phi(x) is -

CHOOSE the correct answer from the following alternative :if f(x)=-f(-x), then the value of int_(-a)^a f(x)dx is equal to

If f(x)=cosx-cos^(2)x+cos^(3)x-…oo , then the value of int f(x) dx is equal to -

If u and v are two differentiable functions of x and int uv dx=phi(x)-int[(du)/(dx)intv dx]dx , then the value of phi(x) is-

If f(x)=f(a+x) , then prove that the value of int_(a)^(a+t) f(x)dx is independent of a.

If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then the value of int f(x) cos x dx+ int g(x) e^(x) dx is equal to -

If int_[x]^(x+1) f(t)dt =[x] then th value of int_(-2)^4 f(x) dx is equal