Integral calculator

[bondjamesbond]

Can someone help me ?

 

[topsquark]

This is a moderately bad one. I'll give you the steps to get you started and you fill in the blanks.

$$\int \dfrac{80}{(x^2 + 2x + 10)^2} ~ dx$$
Step 1: Complete the square: $$x^2 + 2x + 10 = (x + 1)^2 + 9$$.

Step 2: Let $$u = x + 1$$
Step 3: Let $$u = 3 ~ tan(v)$$.

This gives $$\int \dfrac{1}{(x^2 + 2x + 10)^2} ~ dx = \dfrac{1}{27} \int cos^2(v) ~ dv$$
Fill in the steps and you can take the integration from there.

Let us know if you need more help and show what you've done.

-Dan

Addendum: You could probably do this with partial fractions. I haven't looked at it that way yet.