Common Integrals ∫x−1dx = ln (x) ∫1 x dx = ln (x) ∫|x|dx = x√x2 2 ∫exdx = ex ∫sin (x) dx = −cos (x) ∫cos (x) dx = sin (x)

.

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

We can think of integration as a mathematical tool that allows us to find areas enclosed between curves and the coordinate axes. In fact, the uses of integration extend far beyond finding areas and can also …

Use double angle and/or half angle formulas to reduce the integral into a form that can be integrated. Trig Formulas : sin ( 2 For òtan n x sec m xdx we have the following : n odd. Strip 1 tangent and 1 …

Use double angle and/or half angle formulas to reduce the integral into a form that can be integrated. Trig Formulas : sin ( 2. n odd. Strip 1 tangent and 1 secant out and convert the rest to secants using …

Memorize the basic properties of definite integrals and practice applying them to simplify complex integrals. When comparing integrals, always check the interval of integration and the relative …

Applications of Integrals b Net Area : Úf ( x ) dx represents the net area between f ( x and the a ) x-axis with area above x-axis positive and area below x-axis negative.

use integration by parts. The goal is to make sure that the choices of u and dv are made correctly, so that du and v can be found out quickly, and v du can be integr

Integral Calculus Formula Sheet Derivative Rules: ... Properties of Integrals: ... Integration Rules: