integral from 0 to 1 of 7xsqrt(x^2+9)

Lösung

\int_{0}^{1} 7 x x^{2} + 9 d x

7 (\frac{10 10}{3} - 9)

Dezimale

10.78647 \dots

Schritte zur Lösung

\int_{0}^{1} 7 x x^{2} + 9 d x

Entferne die Konstante:

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

= 7 \cdot \int_{0}^{1} x x^{2} + 9 d x

Wende U-Substitution an

= 7 \cdot \int_{3}^{10} u^{2} d u

Wende die Potenzregel an

= 7 [\frac{u ^{3}}{3}]_{3}^{10}

Berechne die Grenzen:

\frac{10 10}{3} - 9

= 7 (\frac{10 10}{3} - 9)

\int \frac{x ^{2} + 1}{( x - 7 ) ( x - 6 )} d x

\int \frac{e ^{2 t}}{1 + e ^{4 t}} d t

\frac{\partial}{\partial y} (e^{x - y})

y \to \infty lim (\frac{2 y ^{2} - 3 y + 5}{y ^{2} - 5 y + 2})

x \to 2 lim (x^{3} + 3 x^{2})