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Solve the given problems. Explain your answers.$$\text { Is } \int \sqrt{2 x+1} d x=\frac{2}{3}(2 x+1)^{3 / 2} ?$$

Calculus 1 / AB

Chapter 25

Integration

Section 2

The Indefinite Integral

Integrals

Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

03:48

Evaluate the integral.…

03:08

03:51

Evaluate the following int…

02:59

01:46

Find the following integra…

01:36

Evaluate the integral and …

00:45

Evaluate the integral by m…

00:42

02:19

Evaluate the definite inte…

03:17

Hello. Friends. We have to explain. Our answer is integration of. He's cooled off. Craigslist vendex squirreled off to express one. Yes educates to two or 3. two x plus one deep overalls. Three. Why do so we can solve it? The integration of It's cooled off two weeks. Just one. Yes we will substitute you two X plus one but you and differentiation differentiated with respect to her. So this will be like this So there is a constant one x 2 of do you? So we can I did due to the power of one way to Into one were 2 of you. So this will be caused to one or two of integration obviously department do you. So this will be a cost of one world too. You did the part one plus 1 way to one plus 1 x two less. Constancy. Okay so this will be cause to one or two. Yeah. U. to the power of 32 blah three were 2 plus constancy so we can write it one way three. That's all U. p. d. Pavlov three x 2 plus C. So this will because 21 x three of you is to express one to the power of three. I do. Let's constant C. Okay and then the question the answer is good in that to buy three of 2 explosive one dx. Okay but the correct answer is one by three to express 13 by two off. Let's see. So there is no the results should be the results should be included include the integration constant. Integration constant. Okay see and and the result will be and the result will be integration of He's cooled off to explosive one of the year. So this will because 21 by three to Express 1 to the power of 32 plus. See this is the correct result. Okay I hope you understood. Thank you.

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