What is the integral from 1 to 7 of 7x^{-4} ?

The integral from 1 to 7 of 7x^{-4} is 114/49

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integral from 1 to 7 of 7x^{-4}

\int_{1}^{7} 7 x^{- 4} d x

\frac{114}{49}

Decimal Notation

2.32653 \dots

Solution steps

\int_{1}^{7} 7 x^{- 4} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int_{1}^{7} x^{- 4} d x

Apply the Power Rule

: [- \frac{1}{3 x ^{3}}]_{1}^{7}

= 7 [- \frac{1}{3 x ^{3}}]_{1}^{7}

Compute the boundaries:

\frac{114}{343}

= 7 \cdot \frac{114}{343}

Simplify

= \frac{114}{49}

\int_{- 1}^{1} (∣ x ∣ + sin (x)) x^{2} d x

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What is the integral from 1 to 7 of 7x^{-4} ?
The integral from 1 to 7 of 7x^{-4} is 114/49