Using the property of odd/even function, evaluate:
3
S (e^x-x*e^x^4)dx
-3
Definite Integration
2012-01-25 8:08 am
回答 (1)
2012-01-25 5:12 pm
✔ 最佳答案
Let f(x) = - x exp(x^4)f(-x) = x exp(x^4) = - f(x)
So, f(x) is an odd function.
This means that
∫ exp(x) - x exp(x^4) dx (-3 -> 3)
= ∫ exp(x) dx (-3 -> 3)
= exp(x) | [-3,3]
= exp(3) - exp(-3)
收錄日期: 2021-04-26 19:17:45
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120125000051KK00011