cos^5xdx定积分
定积分(兀/2到-兀/2)根号cos^3x-cos^5xdx
计算定积分:∫(0,π)cos²xdx∫[0,π]cos²xdx=∫[0,π](1+cos2x)/2dx=(x/2+sin2x/4)[0,π]=π/2
求定积分∫上限π下限0cosxdx∫(0->π)cosxdx=sinx(0->π)=sin(π)-sin(0)=0-0=0
用凑微分法计算定积分cos^2xdx∫cos^2xdx=∫(1+cox2x)/2dx=1/2∫dx+1/4∫cos2xd(2x)=1/2*x+1/4*sin2x+C∫cos^2xdx=∫(1+cox2x)/2dx=1/2∫dx+1/4∫co
定积分s(π/2,0)cos^3xdx∫(0π/2)cos³xdx=∫(0π/2)cosxcos²xdx=∫(0π/2)(1-sin²x)d(sinx)=sinx-sin³x/3(0π/2)=(1-1
计算定积分∫(π/6→π/2)cos²xdx∫(π/6→π/2)cos²xdx=∫(π/6→π/2)(1+cos2x)/2dx=∫(π/6→π/2)1/2dx+1/2∫(π/6→π/2)cos2xdx=1/2(π/2-π
定积分∫(π/6→π/2)cos²xdx∫(π/6→π/2)cos²xdx=∫(π/6→π/2)(1+cos2x)/2dx=(x+0.5sin2x)/2|(π/6→π/2)=(π/2-π/6-0.5sinπ/3)/2=π
3^xe^2xdx求定积分,
定积分题求解∫xe^xdx
求定积分∫tan^3xdx∫tan^3xdx=∫tan^2*xtanxdx=∫(sec^2x-1)*tanxdx=∫sec^2xtanxdx-∫tanxdx=∫tanxd(tanx)-∫sinx/cosxdx=1/2tan^2x+∫1/co
求定积分(x³+sin²x)cos^4xdx范围为(-π/2,π/2)如果有用请及时采纳,
求定积分∫上限π/2下限-π/2(1+x)cosx/1+cos^2xdx原式=∫[∫[-π/2,π/2][cosxdx/(1+(cosx)^2]+∫[-π/2,π/2][xcosxdx/(1+(cosx)^2]前一项是偶函数,后一项是奇函数
定积分∫√(cosx-cos^3xdx)上面二分之派,下面负二分之派=∫(-π/2,π/2)√cosx*|sinx|dx(被积函数为偶函数)=2∫(0,π/2)√cosx*sinxdx=-2∫(0,π/2)√cosxdcosx=(-4/3)
比较定积分的大小∫(0,5)e^-xdx,∫(0,5)e^xdx其中0是下线①∫[0,5]e^(-x)dx=-e^(-x)|[0,5]=-e^(-5)-[-e^0]=-e^(-5)+1②∫[0,5]e^xdx=e^x|[0,5]=e^5-1
高数计算积分计算积分∫xsinx/cos^5xdx满意请采纳,谢谢~
计算下列定积分:积分号xlog2xdx既然是定积分,上下限在哪里?================这个用分部积分法可以求得原函数,很简单.1:1/2log2xd(x^2)2:1=1/2(x^2*log2x-积分号x^2dlog2x)后面就好
积分上限1,积分下限-1,x/根号下5-4Xdx的定积分的解答过程∫(-1,1)x/√(5-4x)dxLetz=5-4x=>x=(5-z)/4anddx=(-1/4)dzWhenx=-1,z=9//whenx=1,z=1Sotheinteg
求在1,5区间的定积分√(x-1)/xdx!全部展开收起
用定积分的定义求∫(上面5下面1)2xdx等于x平方从1到5=25-1=24
分部积分求x/cos^2xdx积分∫x/cos²xdx=∫xsec²xdx=∫xd(tanx)=xtanx-∫tanxdx=xtanx-∫sinx/cosxdx=xtanx+∫1/cosxd(cosx)=xtanx+ln