Question

More substitution rule practice.\[\int 3(8y - 1)e^{4y^2 - y}dy \]Note: this is practice for myself, and I'd just need you guys to confirm. Thanks folks!

Answer 1

\[u = 4y^2 - y\]\[du = 8y - 1dy \]

Answer 2

\[3\int e^{u}du\]

Answer 3

\[3e^u + c \]Right?

Answer 4

right

Answer 5

And...\[3e^{4y^2 - y} +c \]

Answer 6

Thanks, I need more practice with this rule though. :)