Ex 1: Improper Integral – Infinite Interval (-inf,+inf)

This video provides an example of an improper integral when the limits of integration are from negative infinity to positive infinity. The antiderivative is a polynomial function.

Ex 2: Improper Integral – Discontinuous Integrand

This video provides an example of an improper integral when the integrand in discontinuous on the interval of integration.

Ex 1: Improper Integral – Discontinuous Integrand

This video provides two examples of an improper integrals when the integrand in discontinuous on the interval of integration.

Ex 2: Improper Integral – Infinite Interval (-inf, constant)

This video provides an example of an improper integral when the limits of integration are from negative infinity to a constant. The antiderivative involves arctangent.

Ex 3: Improper Integral – Infinite Interval (-inf,+inf)

This video provides an example of an impropert integral when the limits of integration are from negative infinity to positive infinity. the antiderivative involves arctangent.

Ex: Definite Integral Involving a Basic Rational Function

This video provides an example of how to evaluate a definite integral involving a basic rational function. We find the area under the function on the closed interval.

Ex: Definite Integration of an Absolute Value Function Using Geometric Formula

This video provides an example of how to evaluate a definiite integral involving an absolute value function using a geometric formula.

Ex: Definite Integration Using Geometric Formula (Line Above and Below X-Axis)

This video provides an example of how to use a geometric formula to determine the value of a definite integral. The linear function is above and below the x-axis.

Ex: Indefinite Integration with a Negative Exponent

This video provides an example of how to find an indefinite integral with a negative exponent.

Ex: Simplify an Expression with Negative Rational Exponents and Write in Radical Form

This videos provides an example of how to simplify an expression with negative rational exponents and then write in radical form.