integral from 1 to 2 of x^{-1/2}

Lösung

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

2 \cdot 2^{\frac{1}{2}} - 2

Dezimale

0.82842 \dots

Schritte zur Lösung

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

Wende die Potenzregel an

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

Berechne die Grenzen:

2 \cdot 2^{\frac{1}{2}} - 2

= 2 \cdot 2^{\frac{1}{2}} - 2

\int_{- 1}^{1} 3 x^{2} - 4 x + 7 d x

\int_{0}^{\frac{π}{4}} cos (x) + sin (x) d x

\int_{- 2}^{e - 3} \frac{1}{t + 3} d t

\int_{- 2}^{2} x cos (\frac{nπ x}{2}) d x

\int_{1}^{e} x^{- 1} d x