### + / -檢視主題

2/15(X^3+4)^5/2 - 8/9(X^3+4)^3/2- 2/9(x^3)(X^3+4)^3/2  +4/45(X^3+4)^5/2
=0

### [數學]一題簡易微積分 新生不會算

#ed_op#DIV#ed_cl#由於暑假有補習微積分 最近要開學  沒在上課了  沒事拿出來做#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#遇到一個問題#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#請問 #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#積分 X^5&nbsp;&nbsp;* &nbsp;(X^3+4)^1/2&nbsp; dx#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#可以看成 t=(X^3+4)^1/2&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 2tdt=3x^2dx#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#原式=&nbsp; 1/3 積分 t*(t^2-4)*2tdt= 2/15 (t^5) - 8/9 (t^3)+c#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;t=(X^3+4)^1/2 帶回去 #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#= 2/15(X^3+4)^5/2&nbsp; -&nbsp;&nbsp; 8/9(X^3+4)^3/2&nbsp;&nbsp; +c#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#哪裡錯阿??#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#書本後面解答寫&nbsp; 2/9(x^3)(X^3+4)^3/2&nbsp; -&nbsp;&nbsp; 4/45(X^3+4)^5/2&nbsp; +c#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#第一次發問&nbsp; 積分符號不會處理 抱歉#ed_op#/DIV#ed_cl#