   Chapter 12, Problem 13T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If ∫ f ( x ) d x = 2 x 3 − x + 5 e x + C ,  find  f ( x ) .

To determine

To calculate: The value of f(x), If the integral is f(x)dx=2x3x+5ex+C.

Explanation

Given information:

The provided integral is,

f(x)dx=2x3x+5ex+C

Formula used:

Derivative formula:

The value of any function f(x) is equals to the differentiation of the integral of f(x) that’s:

f(x)=ddxf(x)dx

Calculation:

Consider the provided integral,

f(x)dx=2x3x+5ex+C

Consider the formula,

f(x)=ddx

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