• If f is defined at x=a , then $\int_a^af(x)dx=0$
• If f is integrable on [a,b], then $\int_a^bf(x)dx=-\int_b^af(x)dx$
• $\int_a^bf(x)dx=\int_a^cf(x)dx+\int_c^bf(x)dx$
• $\int_a^bcdx=c(a-b)$

Simple Properties that is similar to Formula of Integration

• $\int_a^b[f(x)\pm g(x)]=\int_a^b[f(x)]\pm \int_a^b[g(x)]$
• $\int_a^bcf(x)dx=c\int_a^bf(x)dx$