# Category Archives: High School

## Calculus – Definite Integral Substitution Method

By | April 6, 2017

Definite Integral Substitution Method In this tutorial students learn how to evaluate the definite integral using the substitution technique. Virginia Standards of Learning(SOL) APC.11

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

By | April 5, 2017

Find the Definite Integral of a Cubic Function In this tutorial students learn how to evaluate the definite integral of a cubic function.  The students will also verify the results using the TI-84C. Virginia Standards of Learning(SOL) APC.11

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

By | April 4, 2017

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

By | April 3, 2017

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

By | April 2, 2017

Definite Integral of a Trigonometric Function In this tutorial students learn how to evaluate the definite integral of a trigonometric function.  The students also learn how to verify the results on a TI-84 Plus C graphing calculator. Virginia Standards of Learning(SOL) APC.11

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

By | April 1, 2017

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

By | March 31, 2017

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

By | March 30, 2017

Absolute Maximum and Minimum In this tutorial the students will learn how to find the absolute maximum and minimum of a function.  The students will do this over a specified interval.  The students will also verify the solutions using the GRAPH and WINDOW features of the TI-84C.

## Calculus – Absolute Maximum and Minimum

By | March 29, 2017

Absolute Maximum and Minimum In this tutorial students learn how to find the absolute maximum and minimum of a function over a specified interval.  The students will also verify the solutions using the GRAPH and WINDOW features of the TI-84C.

## Calculus – Limits Indeterminate Form

By | March 28, 2017

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