# Category Archives: High School

## Calculus – Find the Definite Integral of a Cubic Function

## Calculus – Integrate using the u-substitution technique – Example 3

Integrate using the u-substitution technique In this tutorial students learn how to evaluate the integral of a function. The students will learn how to integrate using the u-substitution technique. Virginia Standards of Learning(SOL) APC.11 The student will find antiderivatives directly from derivatives of basic functions and by substitution of variables (including change of limits for definite integrals).

## Calculus – Integrate using the u-substitution technique – Example 2

Integrate using the u-substitution Method In this tutorial students learn how integrate using the u-substitution technique. The integration of a function is also known as the antiderivative. Virginia Standards of Learning(SOL) APC.11 The student will find antiderivatives directly from derivatives of basic functions and by substitution of variables (including change of limits for definite integrals).

## Calculus – Find the Definite Integral of a Trigonometric Function

## Calculus – Find the Definite Integral of a Trigonometric Function – Example 2

Find the Definite Integral of a Trigonometric Function In this tutorial students learn how to evaluate the definite integral of a trigonometric function. The students will also verify the results on a TI-84 Plus C graphing calculator. Also note that sine is an odd function meaning … sin(-x) = -sin(x) Virginia Standards of Learning(SOL) APC.11

## Calculus – Find the Definite Integral of a Quadratic Function

Definite Integral of a Quadratic Function In this tutorial students learn how to evaluate the definite integral of a quadratic function. The students will also learn how to verify the results on a TI-84 Plus C graphing calculator. Virginia Standards of Learning(SOL) APC.11 The student will find antiderivatives directly from derivatives of basic functions and by substitution… Read More »

## Calculus – Absolute Maximum and Minimum – Example 2

## Calculus – Absolute Maximum and Minimum

## Calculus – Limits Indeterminate Form

Limits Indeterminate Form In this tutorial students learn how to evaluate the limit of a function when direct substitution results in the indeterminate form of infinity times 0. Rewrite the function so that a different indeterminate form is created and then L’hopital’s Rule can be applied. Virginia Standards of Learning(SOL) APC.2, APC.8