How to find int_0^1 (x^3 + 2ax^2)/(2+x)dx where a is constant

[sara_87]

Homework Statement

integrate

$$\int_0^1 \frac{x^3+2ax^2}{2+x}$$

where a is constant

Homework Equations

The Attempt at a Solution

I haven't a clue how to start . can someone give me a hint please?

 

[Mark44]

Divide x³ + 2ax² by x + 2. You'll get a quadratic polynomial + constant/(x + 2).