- #1
emmaerin
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Homework Statement
Evaluate the integral. (Use C for the constant of integration.)
∫te ^ (-9t) dt
Homework Equations
∫udv = uv - ∫vdu
u=t dv= e ^ (-9t) dt
du=dt v=(-1/9) e ^(-9t)
The Attempt at a Solution
= -1/9 te^(-9t) - ∫-1/9 e ^(-9t) dt
Second Integral:
w=-9t
dw=-9dt
-81∫-1/9 * -81 e ^(-9t) dt
-81∫e^w * w
-81 * e^(-9t) +C
Final Answer:
= -1/9 te^(-9t) + 81 e ^(-9t) +C
This answer isn't right and I'm not sure where I'm going wrong, so any help would be appreciated. Thanks!
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