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1、 常见不定常见不定积分公式积分公式 1）0dx=c 2）xudx=(xu+1)/(u+1)+c 3）1/xdx=ln|x|+c 4)）axdx=(ax)/lna+c 5）exdx=ex+c 6）sinxdx=-cosx+c 7）cosxdx=sinx+c 8）1/(cosx)2dx=tanx+c 9）1/(sinx)2dx=-cotx+c 10）1/（1-x2) dx=arcsinx+c 11）1/(1+x2)dx=arctanx+c 12）1/(a2-x2)dx=(1/2a)ln|(a+x)/(a-x)|+c 13）secxdx=ln|secx+tanx|+c 14）1/(a2+x2)dx=
2、1/a*arctan(x/a)+c 15）1/(a2-x2) dx=arcsin(x/a)+c 16) sec2 x dx=tanx+c; 17) shx dx=chx+c; 18) chx dx=shx+c; 19) thx dx=ln(chx)+c; 1. adx = ax+C (a 为常数) 2. sin(x)dx = -cos(x)+C 3. cos(x)dx = sin(x)+C 4. tan(x)dx = -loge|cos(x)|+C = loge|sec(x)|+C 5. cot(x)dx = loge|sin(x)|+C 6. sec(x)dx = loge|sec(x)+t
3、an(x)|+C 7. sin2(x)dx 1 = 2 (x-sin(x)cos(x)+C 1 1 = 2 x - 4 sin(2x)+C 9. cos2(x)dx 1 = 2 (x+sin(x)cos(x)+C 1 1 = 2 x + 4 sin(2x)+C 11.tan2(x)dx = tan(x)-x+C 12.cot2(x)dx = -cot(x)-x+C 13.sin(ax)sin(bx)dx sin(a-b)x) sin(a+b)x) = 2(a-b) - 2(a+b) +C 14.sin(ax)cos(bx)dx cos(a-b)x) cos(a+b)x) = - 2(a-b) - 2(a+b) +C 15.cos(ax)cos(bx)dx sin(a-b)x) sin(a+b)x) = 2(a-b) + 2(a+b) +C 16.xsin(x)dx = sin(x)-xcos(x)+C 17.xcos(x)dx = cos(x)+xsin(x)+C 18.x2sin(x)dx = (2-x2)cos(x)+2xsin(x)+C 19.x2cos(x)dx = (x2-2)sin(x)+2xcos(x)+C 20.exdx = ex+C 21.a xdx = a log |x| (a 为常数)
