What is the integral from 1 to 16 of x^{-5/4} ?

The integral from 1 to 16 of x^{-5/4} is 2

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integral from 1 to 16 of x^{-5/4}

\int_{1}^{16} x^{- \frac{5}{4}} d x

2

Solution steps

\int_{1}^{16} x^{- \frac{5}{4}} d x

Apply the Power Rule

: [- \frac{4}{x ^{\frac{1}{4}}}]_{1}^{16}

= [- \frac{4}{x ^{\frac{1}{4}}}]_{1}^{16}

Compute the boundaries:

2

= 2

\int_{0}^{1} 1 - x^{3} d x

\int_{x}^{π} \frac{sin ( y )}{y} d y

\int_{- π}^{π} x^{4} d x

\int_{2}^{4} 2^{4 x} d x

\int_{0}^{\frac{π}{2}} cos^{10} (x) d x

What is the integral from 1 to 16 of x^{-5/4} ?
The integral from 1 to 16 of x^{-5/4} is 2