integral from 1 to 2 of x^2*3/7 x^2

Lösung

\int_{1}^{2} x^{2} \cdot \frac{3}{7} x^{2} d x

\frac{93}{35}

Dezimale

2.65714 \dots

Schritte zur Lösung

\int_{1}^{2} x^{2} \frac{3}{7} x^{2} d x

Entferne die Konstante:

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

= \frac{3}{7} \cdot \int_{1}^{2} x^{2} x^{2} d x

Vereinfache

x^{2} x^{2} : x^{4}

= \frac{3}{7} \cdot \int_{1}^{2} x^{4} d x

Wende die Potenzregel an

= \frac{3}{7} [\frac{x ^{5}}{5}]_{1}^{2}

Berechne die Grenzen:

\frac{31}{5}

= \frac{3}{7} \cdot \frac{31}{5}

Vereinfache

= \frac{93}{35}

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

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

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

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

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