   Chapter 6, Problem 25RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Using Integration Tables In Exercises 23–30, use the integration table in Appendix C to find the indefinite integral. ∫ x 2 + 25 x   d x

To determine

To calculate: The value of indefinite integral x2+25xdx.

Explanation

Given Information:

The provided expression is,

x2+25xdx

Formula used:

The integral formula,

u2+a2udu=u2+a2aln|a+u2+a2u|+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider the provided expression,

And compare from the formula,

u2+a2udu

So, in the provided expression, u=x.

Differentiate u=x with respect to x by the use of power rule of differentiation.

du=dx

Consider the provided expression:

x2+25xdx

Rewrite the expression as,

x2+25xdx=x2+52xdx

Here, a=5, u=x and du=dx.

Substitute u for x, a for 5, and du for dx

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