Int(6 -3x)^5 dx

Please show how to solve.

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Int(6 -3x)^5 dx

Please show how to solve.

Please show how to solve.

- mitnord
**Posts:**13**Joined:**Mon Feb 23, 2009 11:17 pm

U-substitution is exactly the way to go.

First off, you have:

Now, let , so that . Then .

Put this all back into the original integral, factoring out the -1/3 since it's a constant. This leaves you with:

Integrating that with respect to u gives you this (don't forget to multiply through by the -1/3):

Now replace the u with 6 - 3x, giving you a final answer of:

That's all.

First off, you have:

Now, let , so that . Then .

Put this all back into the original integral, factoring out the -1/3 since it's a constant. This leaves you with:

Integrating that with respect to u gives you this (don't forget to multiply through by the -1/3):

Now replace the u with 6 - 3x, giving you a final answer of:

That's all.

- FrozenBlood
**Posts:**11**Joined:**Wed Feb 04, 2009 11:31 pm

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