/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 49 Use integration formulas to solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 49 (page 362)

Use integration formulas to solve each integral in Exercises 21鈥�62. You may have to use algebra, educated guess- and- check, and/or recognize an integrand as the result of a product, quotient, or chain rule calculation. Check each of your answers by differentiating. (Hint for Exercise 54: tanx=sinxcosx).

鈭�e3x-2e4xe2xdx.

Short Answer

Expert verified

The value of the given integral will beex-e2x+c.

Step by step solution

01

Step 1. Given Information.

Given the integral:鈭�e3x-2e4xe2xdx.

02

Step 2. Formula involved.

鈭�exdx=ex+c.and鈭�eaxdx=eaxa+c,whereaisaconstant.

03

Step 3. Solving the integral.

鈭�e3x-2e4xe2xdx=鈭�(e3x-2x-2e4x-2x)dx=鈭�(ex-2e2x)dx=鈭�exdx-鈭�2e2xdx=ex-2e2x2+c=ex-e2x+c.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Approximate the area between the graph f(x)=x2and the x-axis from x=0 to x=4 by using four rectangles include the picture of the rectangle you are using

Suppose f is a function whose average value on

[-2,5]is 10and whose average rate of change on

the same interval is -3. Sketch a possible graph for f .

Illustrate the average value and the average rate of change

on your graph of f.

If f is negative on [鈭�3, 2], is the definite integral 鈭�-32f(x)dx positive or negative? What about the definite integral 鈭� 鈭�-32f(x)dx?

Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.

鈭�04(2x-3)2+5dx

Show by exhibiting a counterexample that, in general, 鈭�f(x)g(x)dx鈮�鈭�f(x)dx鈭�g(x)dx. In other words, find two functions f and g such that the integral of their quotient is not equal to the quotient of their integrals.

See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.