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Presentation

•

Mathematics

•

12th Grade

•

Practice Problem

•

Hard

CHRISTOPHER PLAZA

Used 43+ times

FREE Resource

15 Slides • 7 Questions

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Objective

Solving Indefinite Integrals involving Logarithmic, Exponential and Trigonometric functions.

Introduction

Let us first recall the following differentiation formulas of Exponential and Logarithmic functions.

Multiple Choice

Find the derivative of $f\left(x\right)\ =e^x$

$e^x$

$e^x+C$

Multiple Choice

Find the derivative of $f\left(x\right)=a^x$

$a^x$

$a^x\ln a$

$\ln a$

$a^x\ln a+C$

Multiple Choice

Find the derivative of $f\left(x\right)=\ln x$

$\frac{1}{x}+C$

$\ln x$

$\frac{1}{x}$

$\ln\left|x\right|+C$

Because antidifferentiation is the inverse operation of differentiation, the following formula should be immediate

Antidifferentiation Rules Involving Exponential and Logarithmic Functions

Multiple Choice

What is the $\int\ \frac{9}{x}dx?$

$9\ln\left|x\right|+C$

9x + C

9lnx

9ln + C

Multiple Choice

What is the $\int2e^xdx?$

$e^x+C$

$2e^x+C$

$2e^x$

$+C$

Multiple Choice

What is the $\int5^xdx?$

$\ln5+C$

$5x+C$

$\frac{5^x}{\ln5}+C$

$\frac{5^x}{\ln5}-C$

Multiple Choice

What is the $\int2^xdx?$

$\frac{2^x}{\ln2}+c$

$2^{x+C}$

$2^x+c$

Find the antiderivative

General Rules For The Integral of Exponential and Logarithmic Functions

Integrate the following

Integration of Trigonometric Functions

Recall...

Integration of Trigonometric Function

Integrals of Trigonometric Functions

More on Integration Formulas

More on Integration Formulas

Objective

Introduction

Let us first recall the following differentiation formulas of Exponential and Logarithmic functions.

Because antidifferentiation is the inverse operation of differentiation, the following formula should be immediate

Antidifferentiation Rules Involving Exponential and Logarithmic Functions

Find the antiderivative

General Rules For The Integral of Exponential and Logarithmic Functions

Integrate the following

Integration of Trigonometric Functions

Integration of Trigonometric Function

Integrals of Trigonometric Functions

More on Integration Formulas

Similar Resources on Wayground

Popular Resources on Wayground

More on Integration Formulas

​More on Integration Formulas

​Objective

​Introduction

​Let us first recall the following differentiation formulas of Exponential and Logarithmic functions.

​Because antidifferentiation is the inverse operation of differentiation, the following formula should be immediate

​Antidifferentiation Rules Involving Exponential and Logarithmic Functions

​Find the antiderivative

​General Rules For The Integral of Exponential and Logarithmic Functions

​Integrate the following

​Integration of Trigonometric Functions

​Integration of Trigonometric Function

​Integrals of Trigonometric Functions

​More on Integration Formulas

Similar Resources on Wayground

Popular Resources on Wayground

More on Integration Formulas

Objective

Introduction

Let us first recall the following differentiation formulas of Exponential and Logarithmic functions.

Because antidifferentiation is the inverse operation of differentiation, the following formula should be immediate

Antidifferentiation Rules Involving Exponential and Logarithmic Functions

Find the antiderivative

General Rules For The Integral of Exponential and Logarithmic Functions

Integrate the following

Integration of Trigonometric Functions

Integration of Trigonometric Function

Integrals of Trigonometric Functions

More on Integration Formulas