Primitives table

Integrals of the elementary functions and some little bit complex expressions often occur in practice are presented. The main idea behind the calculation of indefinite integral is to use various transformations to convert the initial integral to the elementary one. Some of the elementary integrals are presented below.

1. Power function:

integral of the function x^a
integral of the function 1/x

2. Exponential and logarithmic functions:

integral of the function a^x
integral of the exponential function
integral of the function log(x,a)
integral of the natural logarithmic function

3. Trigonometric functions:

integral of the sine function
integral of the cosine function
integral of the tangent function
integral of the cotangent function
integral of the function 1/cos(x)^2
integral of the function 1/sin(x)^2
integral of the function 1/cos(x)
integral of the function 1/sin(x)

4. Inverse trigonometric function:

integral of the arcsine function
integral of the arccosine function
integral of the arctangent function
integral of the arccotangent function

5. Fractional rational function:

integral of the function 1/(a^2+x^2)
integral of the function 1/(1+x^2)
integral of the function 1/(a^2-x^2)
integral of the function 1/(1-x^2)

Other useful links:

SLAE by inverse matrix method online calculator
Polynomial equations online calculator
Cubic equations online calculator

Leave your comment: