Find the indefinite integral [³√5 + i* di

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...
Question
Find the indefinite integral:

\[
\int t^3 \sqrt{5 + t^4} \, dt
\]

Select one:

a. \(\frac{2(5 + t^4)^{\frac{2}{3}}}{12} + C\)

b. \(\frac{2(5 + t^4)^{\frac{3}{2}}}{20} + C\)

c. \(\frac{(5 + t^4)^{\frac{3}{2}}}{8} + C\)

d. \(\frac{2(5 + t^4)^{\frac{3}{2}}}{12} + C\)
Transcribed Image Text:Find the indefinite integral: \[ \int t^3 \sqrt{5 + t^4} \, dt \] Select one: a. \(\frac{2(5 + t^4)^{\frac{2}{3}}}{12} + C\) b. \(\frac{2(5 + t^4)^{\frac{3}{2}}}{20} + C\) c. \(\frac{(5 + t^4)^{\frac{3}{2}}}{8} + C\) d. \(\frac{2(5 + t^4)^{\frac{3}{2}}}{12} + C\)
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