Problem

Integrate each of the given expressions. $$\int\l…

Problem 19 Easy Difficulty

Integrate each of the given expressions.
$$\int \sqrt{x}\left(x^{2}-5 x\right) d x$$

Answer

$\frac{2}{7} x^{7 / 2}-2 x^{5 / 2}+C$

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 25

Integration

Section 2

The Indefinite Integral

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Video Transcript

elephants. We have to do that integrate of this given expression that is in two years in office square root of X. In the bracket. Access Carmen is five X dx in the bracket, excess Carmen is five X. The X. So this will be close to yeah square root of X into X. Square The X- or five acts into the square root of X. Dx. Okay, so this will be cause to X to the power to plus one x 2. The New York's -1. Actually the part one plus 1 x two over dx. Okay, so this will be After the power five x two of DX minus five. Yeah. To the power of three x 12 DX. Yeah. Okay. Mhm. So the answer will be extremely power five by two plus one upon five or 2 plus 1- or five indication of this extra about three by two plus one upon three by two plus one plus. Constancy. Okay. So the answer will be after the power seven way two upon seven Y tu minus or five X. to the power five x 2 upon five x 2 Plus Constant C. Okay, So this will be cost 22 Y seven extra. The power seven to minus half. Yeah. Yeah. Two X. To the power five by two plus constancy. So this is the answer I hope you understood. Thank you.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem

Integrate each of the given expressions. $$\int\l…

Problem 19 Easy Difficulty

Integrate each of the given expressions.
$$\int \sqrt{x}\left(x^{2}-5 x\right) d x$$

Answer

$\frac{2}{7} x^{7 / 2}-2 x^{5 / 2}+C$

Related Courses

Basic Technical Mathematics with Calculus

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Discussion

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Functions on the Real Line - Overview

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Watch More Solved Questions in Chapter 25

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Anna Marie V.

Kayleah T.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

$\frac{2}{7} x^{7 / 2}-2 x^{5 / 2}+C$

Basic Technical Mathematics with Calculus

Anna Marie V.

Kayleah T.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Anna Marie V.

Kayleah T.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus