Solving Integrals of Problem Homework Statement

[IncognitoSOS]

Homework Statement

I have two problems that I am stuck on, any help would be appreciated
1. the Integral of (1+2t^8)^20 * t^7 dt
2. the Integral from 0 to 1 of dx/(x*ln(X^5))

Homework Equations

The Attempt at a Solution

for 1. I know that to something like this with a lower power you should multiply it out and then use the power rule, but am I stuck multiplying out 1+2t^8 twenty times?
for 2. Calculator gave me various errors. I suspect that the answer is zero, but I'm not sure.

Thanks to anyone who decides to post

 

[ideasrule]

For number 1, have you tried u-substitution? Whenever you have an integral that you can't immediately figure out how to integrate, you should always try u-substitution.

For part 2, you can simplify ln(x^5) into 5lnx. Can you find the indefinite integral from here?

 

[andylu224]

for question 2,
You've got a problem with this question which u will find out once u find the indefinite integral. x can't equal to either 1 or 0.