Integral Calculus – Theory and Practice
1. Theory of Integrals
Integral calculus is a branch of mathematics that studies the
accumulation of quantities and the area under curves. It is widely used
in physics, engineering, economics, and many other scientific fields.
The process of finding an integral is called integration, and the result
of integration is known as the antiderivative of a function.
Explanation of Symbols
x: the variable of the function
n: the exponent of the variable
dx: indicates that the integration is with respect to ?
C: the constant of integration
Illustrative example
Practice Problems
Problem 1
Compute the integral:
∫ x^2 dx
1. Theory of Integrals
Integral calculus is a branch of mathematics that studies the
accumulation of quantities and the area under curves. It is widely used
in physics, engineering, economics, and many other scientific fields.
The process of finding an integral is called integration, and the result
of integration is known as the antiderivative of a function.
Explanation of Symbols
x: the variable of the function
n: the exponent of the variable
dx: indicates that the integration is with respect to ?
C: the constant of integration
Illustrative example
Practice Problems
Problem 1
Compute the integral:
∫ x^2 dx
