d/dx[F(x)]=f(x),then òf(x)dx=F(x)+C

1.ò [f(x) ± g(x)]dx=ò f(x) dx ± ò g(x) dx 2. For any real number k, òk f(x) dx = k ò f(x) dx 3.If functions f1,f2,f3,.......fn are functions and k1,k2,......kn are real real numbers,then ò[k1f1(x)+k2f2(x)+.......knfn(x) dx =k1òf1(x) dx+k2òf2(x)dx+.........+knòfn(x)dx

For functions f(x) and g(x), we have ò[f(x).g(x) dx = f(x).òg(x) dx -ò{f(x).òg(x).dx}.dx Here, we can choose first function according to its position in ILATE, where I= Inverse trigonometric function L= Logarithmic function