integral from 2 to 4 of x^{2x}(1+ln(x))

Lösung

\int_{2}^{4} x^{2 x} (1 + ln (x)) d x

32760

Schritte zur Lösung

\int_{2}^{4} x^{2 x} (1 + ln (x)) d x

Wende U-Substitution an

= \int_{16}^{65536} \frac{1}{2} d u

Integral einer Konstanten :

\int a d x = a x

= [\frac{1}{2} u]_{16}^{65536}

Berechne die Grenzen:

32760

= 32760

\int_{2}^{4} x^{2} + 2 x d x

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

\int_{1}^{4} (2 x - \frac{4}{x ^{2}}) d x

\int_{- 8}^{4} 32 - 4 x - x^{2} d x

\int_{- 1}^{1} x (x^{3} + cos^{3} (x)) d x