## anonymous 3 years ago What is the solution of Integral : (x²+4x)/sqrt(x²+2x+2) Do not use an integral calculator, please help !!

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1. myininaya

Do you know how to integrate by first using a trig sub?

2. myininaya

Try to write the thing in the radical as a sum of squares and pick your trig sub based on that. Let me know what you choose it to be.

3. anonymous

hint: $\Large \cosh^2 \alpha-\sinh^2\alpha=1$ The hyperbolic trigonometric Pythagoras. Hopefully it will make your life a bit easier after completing the square.