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Evaluate \int x^{-3.5}\;dx

  • Option 1)

    -\frac{5}{2}x^{-2.5} + c

  • Option 2)

    \frac{5}{2}x^{-2.5} + c

  • Option 3)

    -\frac{2}{5}x^{-2.5} + c

  • Option 4)

    \frac{2}{5}x^{-2.5} + c

 

Answers (1)

best_answer

As we have learnt,

 

Indefinite integrals for Algebraic functions -

 \frac{\mathrm{d}}{\mathrm{d} x} \frac{\left ( x^{n+1} \right )}{n+1}=x^{n} so \int x^{n}dx=\frac{x^{n+1}}{n+1}

- wherein

Where  n\neq-1

 

 \int x^{-\frac{7}{2}}dx = -\frac{2}{5}x^{-\frac{5}{2}} + c

 


Option 1)

-\frac{5}{2}x^{-2.5} + c

Option 2)

\frac{5}{2}x^{-2.5} + c

Option 3)

-\frac{2}{5}x^{-2.5} + c

Option 4)

\frac{2}{5}x^{-2.5} + c

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Aadil

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