Question: Determine 2x(x 2 + 5)dx by making a substitution. Then, determine the integral by multiplying out the integrand and antidifferentiating. Account for the difference in

Determine ∫2x(x² + 5)dx by making a substitution. Then, determine the integral by multiplying out the integrand and antidifferentiating. Account for the difference in the two results.

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The two methods differ by a const... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!

Evaluate by making a substitution and interpreting the resulting integral in terms of an area. SoxV1 x4 dx

In a perfectly competitive market in long-run equilibrium, can consumer surplus be increased? Can producer surplus be increased? Can a consumer become better off by making a substitution away from...

For each of the following integrals, give a function that if, integrated on a similar infinite domain, will have the same convergence or divergence behavior as the given integral, and use that to...

MATH260Week 6 Lab Name: Antiderivatives According to the first part of the fundamental theorem of calculus, the antiderivative reverses the derivative. If f(x) is a derivative, F(x) is the...

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Section 8.3 Reading Assignment: Trigonometric Integrals Instructions. Read through this assignment and complete the three exercises below by reading the appropriate passages of the textbook. This...

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Please help me with calculus puctures are all attached! But only do these problems 7.2:numbers 3-10 all 7.3: number 3a and b (with graph of the rectangles), 16, 39 (right endpoints only - show the 3...

Section 8.4 Reading Assignment: Trigonometric Substitution Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Suppose that Sasha picks an integer X at random between 1 and 6 (inclusive). Then Ravi picks a different integer Y at random, from the 5 integers that remain. Assume that all (6) (5) = 30 choices are...

In Exercise 13 in Section 9.1 we formulated a model for learning in the form of the differential equation dP/dt = k (M P). Where P (t) measures the performance of someone learning a skill after a...

The Future Value of a $ 5 , 0 0 0 investment is $ 6 , 2 5 1 . 1 6 . The rate being earned is 6 % ( 4 ) . How long was the investment? answer in conversion periods, years, months - only need the...

Comparing Profit with Cash Flow (A Challenging Problem) New Delivery Company was organized on January 1, 2012. At the end of the first quarter (three months) of operations, the owner prepared a...

Consider the single-factor completely randomized design. Show that a 100(1 Î±) percent confidence interval for Ï 2 is where N is the total number of observations in the experimental...

Consider the random-effects model for the single factor completely randomized design. Show that a 100(1 Î±)% confidence interval on the ratio of variance components Ï 2 Ï...

Consider a random-effects model for the singlefactor completely randomized design. (a) Show that a 100(1 Î±)% confidence interval on the ratio Ï 2 Ï / Ï 2 + Ï 2...

Ernire bought Bond E four years ago, when the market interest rate was 10% APR. Today, the bond currently has eight years to maturity and has an annual coupon rate of 10%, making semi-annual coupon...

Wayward Company wants to prepare interim financial statements for the first quarter. The company wishes to avoid making a physical count of inventory. Wayward's gross profit rate averages 34%. The...

46. Valquez Inc is considering a 10% stock dividend, the extract from their Statement of Financial Position is below. Shareholders' Equity Common Shares Retained Earnings Total Shareholders 800.000...