Types of Integrals

Definite Integrals

These are the integrals that have a pre-existing value of limits; thus making the final value of integral definite. The definite integrals are used to find the area under the curve with respect to one of the coordinate axes, and with the defined limits. Here we aim at finding the area under the curve g(x) with respect to the x-axis and having the limits from b to a.

Indefinite Integrals

These are the integrals that do not have a pre-existing value of limits; thus making the final value of integral indefinite. The indefinite integrals are used to integrate the algebraic expressions, trigonometric functions, logarithmic, and exponential functions. Here g'(x) is the derivative answer, which on integration results in the original function of g(x). The integration does not give back the constant value of the original expression, and hence a constant ‘c’ is added to the answer of the integral.