∫(sinx)^4dx=∫(sinx)^2*(sinx)^2dx=∫((1/2)*(1-cos2x))*((1/2)*(1-cos2x))dx
=∫(1/4)*(1+(cos2x)^2-2cos2x)dx=(1/4)x+(1/4)∫(cos2x)^2dx-(1/4)sin2x
=(1/4)x+(1/8)∫(cos4x+1)dx-(1/4)sin2x
=(3/8)x+(1/32)sin4x-(1/4)sin2x+c
猜你喜欢
- 1许多只粉笔 many____ of chalk 大意 main____
- 2英语翻译
- 3convenient(适当形式填空) It is a great ______to have you live next door to us.
- 4改错:I feel hot,can I have a sweater?
- 5( )的麦哨 ( )的草地 ( )的细汗 ( )的行驶 在括号里填上适当的词
- 6某用户家里电能表上标有“220V 10A
- 7The weather was so cold that the street was almost e____.
- 8在△ABC中,AB=12,AC=10,BC=9,AD是BC边上的高.将△ABC按如图所示的方式折叠,使点A与点D重合,折痕为EF,则△DEF的周长为( ) A.9.5 B.10.5 C.11 D.15.5
- 9What about ________?A.go shoping B.going shoping C.going shopping D.go to shop
- 10jhon comes from england.(改为一般疑问句)