Home
Class 12
MATHS
यदि f(a+b-x)=f(x) हो, तो सिद्ध कीजिए कि ...

यदि `f(a+b-x)=f(x)` हो, तो सिद्ध कीजिए कि `int_(a)^(b)xf(x)dx=(a+b)/(2)int_(a)^(b)f(x)dx.`

Promotional Banner

Similar Questions

Explore conceptually related problems

int_(a)^(b)f(x)dx=F(b)-F(a) .

Prove that int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx.

If f(a+b-x)=f(x), then prove that int_(a)^(b)xf(x)dx=(a+b)/(2)int_(a)^(b)f(x)dx

If int_(a)^(b)f(x)dx=int_(a)^(b)phi(x)dx , then-

Prove that, int_(a)^(b)f(a+b-x)dx=int_(a)^(b)f(x)dx .

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

int_(a)^(b)f(x)dx=int_(b)^(a)f(x)dx .