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## Homework Statement

Calc I problem, so need to solve by calc 1 methods.

∫ (x-1)(x+1)^11 dx

## Homework Equations

## The Attempt at a Solution

∫ (x-1)(x+1)^11 dx

U = x+1

dU = dx

x-1 = x+1-2 = U-2

=∫ (U-2)U^11 dU

=∫ U^12 dU - 2∫ U^11 dU

=(1/13)U^13 - (1/6)U^12

=(1/13)(x+1)^13 - (1/6)(X+1)^12

∫ (x-1)(x+1)^11 dx = (1/13)(x+1)^13 - (1/6)(X+1)^12

The course ended already, this was the final test problem (on the test that ended already). I didn't understand how to do this one. I can check my answer and see it's wrong. My teacher won't be in until fall semester starts, so I can't ask him until then. I was already at full time, so Calc I was basically a free class I retook because it could boost GPA without being time consuming.

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