Determine the following indefinite integral. \int (x^{8}-3x^{3}+1)dx

pamangking8 2021-11-16 Answered
Determine the following indefinite integral.
(x83x3+1)dx
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Expert Answer

Richard Cheatham
Answered 2021-11-17 Author has 16 answers
Step 1
First we separate the integral.
(x83x3+1)dx
=x8dx3x3dx+dx
Step 2
Then we integrate each part
(x83x3+1)dx
=x8dx3x3dx+dx
=x993x44+x+C
=x993x44+x+C
Answer: x993x44+x+C
C=integrating constant
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Xyle1991
Answered 2021-11-18 Author has 15 answers
Step 1: Expand.
(x83x3+1)dx
Step 2: Use Power Rule: xndx=xn+1n+1+C.
x993x44+x
Step 3: Add constant.
x993x44+x+C
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