integral from x^2 to x of y

Lösung

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

\frac{x ^{2} - x ^{4}}{2}

Schritte zur Lösung

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{x ^{2}}{2} - \frac{x ^{4}}{2}

= \frac{x ^{2}}{2} - \frac{x ^{4}}{2}

Vereinfache

= \frac{x ^{2} - x ^{4}}{2}

\int_{0}^{1} 3 x (x^{2} - 1)^{12} d x

\int_{4}^{6} (x^{2} - 2 x - 8) d x

\int_{1}^{2} 16 x d x

\int_{- 1}^{0} (x^{3} - 2)^{2} \cdot 3 x^{2} d x

\int_{0}^{4} 2 t^{2} + t^{\frac{3}{2}} d t