Novalee S.

asked • 10/07/24

Evaluate integral

Evaluate the integral: ∫(5𝑥^8+7/𝑥^7+8/sqrt (𝑥^3))𝑑𝑥


be sure to include

  1. Rewriting the original integral into a form where you can apply the power rule
  2. Applying the power rule
  3. Rewriting the answer without negative or fractional exponents

Dayv O.

a/b/c is ambiguous,,has two meanings. a/b/c=a/b/(c/1)=a/bc or a/b/c=(a/1)/b/c=ac/b. Which is right for this problem?
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10/07/24

Novalee S.

Hmmm.... I am not sure. Is there one that you would use more commonly? I have not heard of something being ambiguous before.
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10/07/24

Doug C.

My guess this is intended as two separate terms separated by the + sign. [(5x^8+7)/x^7] + [8/sqrt(x^3)] ? That is the problem with having to use forward slashes to separate numerator and denominator of a fraction. With a horizontal bar (vinculum) there is no ambiguity because the vinculum acts as a grouping symbol.
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10/07/24

Doug C.

Or perhaps the interpretation is as Mark M showed in his answer?
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10/07/24

Novalee S.

Ya, I think its how you do it in Marks answer.
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10/07/24

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