INDEFINITE Use the idea of "un-doing 18. (3x³dx INTEGRALS a derivative" to find the following indefinite integrals: 19. (8x³ + 2x)dx 20. (5x³-1)dx

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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INDEFINITE
Use the idea of "un-doing
18. [3x²dx
INTEGRALS
a derivative" to find the following indefinite integrals:
19. (8x³ + 2x)dx
20. [(5x³-1)dx
Transcribed Image Text:INDEFINITE Use the idea of "un-doing 18. [3x²dx INTEGRALS a derivative" to find the following indefinite integrals: 19. (8x³ + 2x)dx 20. [(5x³-1)dx
Expert Solution
Step 1

Sol:-

18.

3x2dxTaketheconstantout:  a·fxdx=a·fxdx=3·x2dxApplythePowerRule:  xadx=xa+1a+1,  a-1=3*x2+12+1=x3Addaconstanttothesolution=x3+C3x2dx=x3+C

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