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The integral ∫ x8 dx is equal to ______.

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Question

The integral ∫ x8 dx is equal to ______.

Options

  • 8x7

  • \[\frac {x^9}{8}\]

  • \[\frac {x^9}{9}\]

  • 9x9

MCQ
Fill in the Blanks
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Solution

The integral ∫ x8 dx is equal to \[\frac {x^9}{9}\].

Explanation:

Using the power rule ∫ xn dx = \[\frac {x^{n+1}}{n+1}\], for n = 8: ∫ x8 dx = \[\frac {x^9}{9}\]​.

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