Integration question

[noteslayer]

Hi, I need to know how to solve this question.

Using the formula $\int _0^af\left(x\right)dx=\int _0^af\left(a-x\right)dx\:\:$, where a is a constant, find $\int _0^{\pi }\frac{xsinx}{\sqrt{1+cos^2x}}dx$.

 

[Dr.Peterson]

Hi, I need to know how to solve this question.

Using the formula $\int _0^af\left(x\right)dx=\int _0^af\left(a-x\right)dx\:\:$, where a is a constant, find $\int _0^{\pi }\frac{xsinx}{\sqrt{1+cos^2x}}dx$.

Assuming this is the complete wording of an exercise you were given, what you have been told should give you a good start. What will you use for a? What happens when you apply the formula to the given integral?

That's how to start: Do what they say. After that, if it isn't clear what to do next, write back and show us your work so we can see what additional help you need.