What is the integral from 3 to 4 of x^{-3} ?

The integral from 3 to 4 of x^{-3} is 7/288

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integral from 3 to 4 of x^{-3}

\int_{3}^{4} x^{- 3} d x

\frac{7}{288}

Decimal

0.02430 \dots

Solution steps

\int_{3}^{4} x^{- 3} d x

Apply the Power Rule

: [- \frac{1}{2 x ^{2}}]_{3}^{4}

= [- \frac{1}{2 x ^{2}}]_{3}^{4}

Compute the boundaries:

\frac{7}{288}

= \frac{7}{288}

\int_{2}^{7} x^{3} d x

\int_{- 2}^{2} 3 x^{2} + 4.99 d x

\int_{2}^{6} t^{5} ln (t) d t

\int_{0}^{4} - x^{2} + 4 d x

\int_{1}^{4} \frac{2 - t}{t ^{2}} d t

What is the integral from 3 to 4 of x^{-3} ?
The integral from 3 to 4 of x^{-3} is 7/288