Standard Integral Forms

Type I

Type II

In this case, express ax2 + bx + c as sum or difference of two square terms to get the integrand in one of the standard forms of Type 1.

Type III

To evaluate the above integrals, express the numerator px+ q into two parts with suitable constants. One in terms of differential coefficient of denominator and the other without x term. Then the integrals will be separated into two standard form of known integrals and can easily be evaluated.

Type IV