   Chapter 4.1, Problem 23E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral In Exercises 15-36, find the indefinite integral and check the result by differentiation. ∫ 1 x 5 d x

To determine

To calculate: The solution of the given indefinite integral expressed as 1x5dx and check the result by differentiation.

Explanation

Given:

The provided integral is expressed as 1x5dx.

Formula used:

The integration of a function xn is given as,

xndx=xn+1n+1+C

The derivative of a function xn is given as,

ddx(xn)=nxn1

And, the derivative of a constant is given as,

ddx(Constant)=0

Calculation:

Consider the given integral expressed as,

1x5dx

Integrate the expression above to get,

1x5dx=(x5)dx=x5+15<

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