设f(x)=∫0xecostdt,求∫0πf(x)cosxdx.

admin2019-08-23  31

问题 设f(x)=∫0xecostdt,求∫0πf(x)cosxdx.

选项

答案0πf(x)cosx dx=∫0πf(x)d(sinx)=f(x)sinx|0π—∫0πf’(x)sinx dx =-∫0π’(x)sinx dx=一∫0πecosxsinx dx=∫0πecosxd(cosx) =ecosx|0π=e-1-e.

解析
转载请注明原文地址:https://kaotiyun.com/show/iSc4777K
0

最新回复(0)