Find Antiderivatives The image shows the integral:\[\int \left(4x^2 - \frac{1}{x}\right) dx\]This is a mathematical expression that represents the integration of the function $4x^2 - \frac{1}{x}$ with respect to $x$. Integration is a fundamental concept in calculus, often used to find areas under curves or to solve problems involving accumulation. The image shows an integral expression:∫ 5e^x dxExplanation:- The integral symbol "∫" indicates the operation of integration.- The function to be integrated is "5e^x".- "e^x" is the exponential function.- "dx" represents the variable of integration, which is "x" in this case.This expression represents the indefinite integral of the function "5e^x" with respect to "x".

Answered: Image /qna-images/answer/3f11fc27-36df-40c2-b9e3-dbf518b482d7.jpg

Answered: 1 4x2 dx X.

Math

Calculus

1 4x2 dx X.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Find Antiderivatives

The image shows the integral:

\[
\int \left(4x^2 - \frac{1}{x}\right) dx
\]

This is a mathematical expression that represents the integration of the function $4x^2 - \frac{1}{x}$ with respect to $x$. Integration is a fundamental concept in calculus, often used to find areas under curves or to solve problems involving accumulation.

The image shows an integral expression:

∫ 5e^x dx

Explanation:

- The integral symbol "∫" indicates the operation of integration.
- The function to be integrated is "5e^x".
- "e^x" is the exponential function.
- "dx" represents the variable of integration, which is "x" in this case.

This expression represents the indefinite integral of the function "5e^x" with respect to "x".

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