1. Common Integrals. 2. Integrals of Rational Functions. 4. Integrals of Logarithmic Functions. 2 ! i ⋅ i ! 5. Integrals of Trig. Functions.

2 " a2x2 x3 sinaxdx = cosax (93) ! (98) ebx 1 cos(ax)dx ebx asinax = + bcosax ! ! sinaxsinhbxdx = (110) 1 !!!!!!!!!! ! sinhaxcoshbxdx = (112) 1 [ ] !!!!!!!!!!

Inverse of trigonometric functions:

Integral Calculus Formula Sheet Derivative Rules: ... Properties of Integrals: ... Integration Rules: du u C u n 1

This is an example of numerical integration. There are many methods of numerical integration but we will study only two: the Trapezium Rule and Simpson’s Rule.

Newton-Cotes Formulas This first category of numerical integration algorithms can be applied either to functions or to discrete data sets.

As with differentiation, there are two types of formulas, formulas for the integrals of specific functions and structural type formulas. Each formula for the derivative of a specific function corresponds to a …