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Hi, am I on the right track with this U-substitution problem?

Evaluate the indefinite integral

integral of x^2(x^3 + 5)^9 dx

integral of x^2(x^3 + 5)^9 dx

Let u = x^3 + 5

du = 2x^2

1/2du = x^2

1/2 integral u^9 du

1/2 (u^10)/10 + c

1/20 u^10 + c

1/20 (x^3 + 5)^10 + c

## Homework Statement

Evaluate the indefinite integral

## Homework Equations

integral of x^2(x^3 + 5)^9 dx

## The Attempt at a Solution

integral of x^2(x^3 + 5)^9 dx

Let u = x^3 + 5

du = 2x^2

1/2du = x^2

1/2 integral u^9 du

1/2 (u^10)/10 + c

1/20 u^10 + c

1/20 (x^3 + 5)^10 + c

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