We can remember the formulas of derivatives of some important functions. Here are the corresponding integrals of these functions that are remembered as standard formulas of integrals.
- ∫ xn dx=xn+1 /n+1+C, where n ≠ -1
- ∫ dx =x+C
- ∫ cosxdx = sinx+C
- ∫ sinx dx = -cosx+C
- ∫ sec2x dx = tanx+C
- ∫ cosec2x dx = -cotx+C
- ∫ sec2x dx = tanx+C
- ∫ secx tanxdx = secx+C
- ∫ cscx cotx dx = -cscx+C
- ∫1/(√(1-x2))= sin-1 x + C
- ∫-1/(√(1-x2))= cos-1 x + C
- ∫1/(1+x2)= tan-1 x + C
- ∫-1/(1+x2)= cot-1 x + C
- ∫1/(x√(x2 -1))= sec-1 x + C
- ∫-1/(x√(x2 -1))= cosec-1 x + C
- ∫ exdx=ex + C
- ∫dx/x=ln|x| + C
- ∫ ax dx=ax/ln a + C