BuyFind

Single Variable Calculus: Concepts...

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

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

Answer to Problem 52RE

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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