Need help with Calculus Integration of parts

Question

Evaluate the integral.

Evaluate the integral.

1

y/e4y

0

 

Answer 1

Take dv=e^-4y so that v=(-1/4)e^-4y

^{Take u =y so that dv = dy}

The formula for integration by parts is ∫udv = uv - ∫vdu...substitute from above

(-y/4)e^-4y + ∫(-1/4)e^-4ydy...I will leave that last integral for you!

Answer 2

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