Integral calculator

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

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

Step 2: Let [math]u = x + 1[/math]
Step 3: Let [math]u = 3 ~ tan(v)[/math].

This gives [math]\int \dfrac{1}{(x^2 + 2x + 10)^2} ~ dx = \dfrac{1}{27} \int cos^2(v) ~ dv[/math]
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.
 
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