How do you find the definite integral of #t^3(1 + t^4)^3 dt# from #[-1, 1]#?
1 Answer
Aug 15, 2017
Explanation:
The quick way
This is an odd function with domain
That is:
For any odd function
The long way
Use substitution with
And
So the integral becomes
Because
The very long way
Finish integrating
# = u^5/20#
# = (1+t^4)^5/20#
Now evaluate from