Thread: How do i solve this integral problem?

Im totally confused about the following problem. please help me to solve it and explain. following is the complete question:

Find and simplify te derivitive of

f(x) = (x²+2) log e(x²+2)

hence evaluate,

2
∫ x log e(x² + 2) dx
1


(note: that is "log to the base e" in everywhere that the "e" is mentioned )

Thanks in advance!

log of base e is just ln?

Originally Posted by da_coolest

Im totally confused about the following problem. please help me to solve it and explain. following is the complete question:

Find and simplify te derivitive of

f(x) = (x²+2) log e(x²+2)

hence evaluate,

2
∫ x log e(x² + 2) dx
1


(note: that is "log to the base e" in everywhere that the "e" is mentioned )

Thanks in advance!

Product rule.
Now you know, from the "Fundamental Theorem of Caclulus" that