(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the indefinite integral...

[itex]\int x^2 (x^3+5)^9 dx[/itex]

2. Relevant equations

[itex]\int f(g(x))g'(x)dx = \int f(u)du[/itex]

3. The attempt at a solution

[itex]u = x^3+5[/itex]

[itex]du = x^2dx[/itex]

So my answer is...

Does that look right?

And one more...

1. The problem statement, all variables and given/known data

Evaluate the indefinite integral...

[itex]\int x/(x^2+1)^2[/itex]

2. Relevant equations

[itex]\int f(g(x))g'(x)dx = \int f(u)du[/itex]

3. The attempt at a solution

[itex]u = x^2+1[/itex]

[itex]du = 1/2 dx[/itex]

So my answer is...

[itex](-1)/2(x^2+1) + C[/itex]

Does that look right?

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# Homework Help: Calculus Substitution Rule Problem Check

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