What is the integral from 1 to 2 of (e^{1/2})/(x^2) ?

The integral from 1 to 2 of (e^{1/2})/(x^2) is (e^{1/2})/2

Popular >

integral from 1 to 2 of (e^{1/2})/(x^2)

\int_{1}^{2} \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

\frac{e ^{\frac{1}{2}}}{2}

Decimal

0.82436 \dots

Solution steps

\int_{1}^{2} \frac{e ^{\frac{1}{2}}}{x ^{2}} d x

Take the constant out:

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

= e^{\frac{1}{2}} \cdot \int_{1}^{2} \frac{1}{x ^{2}} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{1}{2}

= e^{\frac{1}{2}} \frac{1}{2}

Simplify

= \frac{e ^{\frac{1}{2}}}{2}

\int_{1}^{2 e} ln (x) d x

\int_{- \frac{π}{2}}^{\frac{π}{2}} x^{2} sin (x) d x

\int_{0}^{1} x^{2} 1 + 3 x^{3} d x

\int_{- 2}^{3} (3 x^{4} - 4 x^{3} - x - 4) d x

\int_{0}^{1} e^{2 x^{3}} d x

What is the integral from 1 to 2 of (e^{1/2})/(x^2) ?
The integral from 1 to 2 of (e^{1/2})/(x^2) is (e^{1/2})/2