If \(f\left(a+b-x\right)=f\left(x\right)\) then \(\int_{a}^{b}xf\left(x\right)dx\) is equal to
Answer & explanation
Correct answer: option 4
Use \(\int_{a}^{b}f\left(x\right)dx=\int_{a}^{b}f\left(a+b-x\right)dx\)
If \(f\left(a+b-x\right)=f\left(x\right)\) then \(\int_{a}^{b}xf\left(x\right)dx\) is equal to
Correct answer: option 4
Use \(\int_{a}^{b}f\left(x\right)dx=\int_{a}^{b}f\left(a+b-x\right)dx\)