**Solution:**

**Solution:** Use Integration by Parts:
:

**Solution:** We will use Integration by Parts twice. First let
:

Now transform the integral on the right via :

The integrals on the left and the right side are identical. Consequently

i.e.

**Solution:** First perform polynomial division:

The denominator is a repeated linear factor, so the setup for the partial fractions method is as follows:

Solving for the unknowns yields

*
*

**Solution:** We will use the substitution *, and the Pythagorean Theorem *
*.
*

*
*

**Solution:** We will first substitute *y*=*x*-1*.
*

*
*

**Solution:** Since *, we use the trigonometric substitution *
*.
*

*
*

*
*

**Solution:** We split the integral into 2 pieces:

**
**

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Contact us

Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

users online during the last hour