What is the integral from 1 to 4 of 1/(xsqrt(x)) ?

The integral from 1 to 4 of 1/(xsqrt(x)) is 1

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integral from 1 to 4 of 1/(xsqrt(x))

\int_{1}^{4} \frac{1}{x x} d x

1

Solution steps

\int_{1}^{4} \frac{1}{x x} d x

Simplify

x x : x^{\frac{3}{2}}

= \int_{1}^{4} \frac{1}{x ^{\frac{3}{2}}} d x

Apply the Power Rule

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

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

Compute the boundaries:

1

= 1

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\int \frac{2 x + 1}{x ^{2} + 2 x + 2} d x

\frac{d}{d x} (3 sin (x) - 3 x cos (x))

What is the integral from 1 to 4 of 1/(xsqrt(x)) ?
The integral from 1 to 4 of 1/(xsqrt(x)) is 1