二重积分及多元复合函数解答具体题目如下

Question

二重积分及多元复合函数解答具体题目如下

Answer 1

求二重积分[1,5]∫dy[y,5]∫ylnxdx原式=[1,5]∫ydy[y,5]∫lnxdx=[1,5]∫ydy[xlnx-x]∣[y,5]=[1,5]∫y(5ln5-5-ylny+y)dy=[1,5]∫[5yln(5/e)-y²lny+y²]dy={[5ln(5/e)]∫ydy-∫y²lnydy+∫y²dy}∣[1...