「o(x)(xk」mx)1(x)=Fx)+C 199 ch dx=alch d=ash +C 例10 dInx 1 rd(1+2nx x(1+2hx)1+2lhx21+2nx IIn 2h1+2hx|+C 3/x 例19=215= 2[a3xd3√x evx +c √x 积分表 首页上页返回 页结束铃积分表 首页 上页 返回 下页 结束 铃     f[j(x)]j(x)dx= f[jf([xj)](dxj)]j(x ()x=)  dxf=(u)duf[j=(xF)](duj)+(xC)= F[fj(u(x)du)]+=CF(u)+C=F[j(x)]+C 例 例 7 9 C a x a a x d a x dx a a x = = +   ch ch sh  例 10    + + = + = + x d x x d x x x dx 1 2ln (1 2ln ) 2 1 1 2ln ln (1 2ln ) = ln |1+2ln x|+C 2 1  例 11 dx e d x e d x e C x e x x x x = = = +    3 3 3 3 3 2 3 3 2 2  例10 例11 例 7 C a x a a x d a x dx a a x = = +   例 7 ch ch sh C a x a a x d a x dx a a x = = +   ch ch sh  例 10    + + = + = + x d x x d x x x dx 1 2ln (1 2ln ) 2 1 1 2ln ln (1 2ln ) 例 10    + + = + = + x d x x d x x x dx 1 2ln (1 2ln ) 2 1 1 2ln ln (1 2ln ) 例 11 dx e d x e d x e C x e x x x x = = = +    3 3 3 3 3 2 3 3 2 例 11 dx 2 e d x e d x e C  x e x x x x = = = +    3 3 3 3 3 2 3 3 2 例 11 dx 2 e d x e d x e C  x e x x x x = = = +    3 3 3 3 3 2 3 3 2 2  下页