integral from 0 to 1 of x3^{x^2}

Lösung

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

\frac{1}{ln ( 3 )}

Dezimale

0.91023 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{3} \frac{1}{2 ln ( 3 )} d u

Integral einer Konstanten :

\int a d x = a x

= [\frac{1}{2 ln ( 3 )} u]_{1}^{3}

Berechne die Grenzen:

\frac{1}{ln ( 3 )}

= \frac{1}{ln ( 3 )}

\int_{- 2}^{0} \frac{1}{1 - x} d x

\int_{- π}^{π} e^{- x} d x

\int_{- π}^{π} t^{2} cos (t) d t

\int_{- 2}^{2} (x + 2) d x

\int_{0}^{1} \frac{e ^{x} + 5}{e ^{x} + 5 x} d x