# Tofind: the most general anti derivative of the function.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 4, Problem 52RE
To determine

## Tofind:the most general anti derivative of the function.

Expert Solution

Themost general anti derivative of the function is g(t)dt=2t12+23t32+C. .

### Explanation of Solution

Given:

g(t)=(1+t)t .

Concept used:

Antiderivative=integration

Integration formula:

xndx=xn+1n+1 .

Calculation:

g(t)=(1+t)t .

g(t)dt=(1+t)tdt

g(t)dt=1tdt+tdt

g(t)dt=t-12dt+t12dt .

g(t)dt=t1212+t3232+C .

g(t)dt=2t12+23t32+C.

Hence the most general anti derivative of the function is g(t)dt=2t12+23t32+C. .

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