- #1
kikko
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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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