de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 9 of 2^{sqrt(x)}

Lösung

\int_{1}^{9} 2^{x} d x

Lösung

\frac{44 ln ( 2 ) - 12}{ln ^{2} ( 2 )}

+1

Dezimale

38.50215 \dots

Schritte zur Lösung

\int_{1}^{9} 2^{x} d x

Wende U-Substitution an

= \int_{1}^{3} 2^{u + 1} u d u

Wende die partielle Integration an

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

\int \frac{2 ^{u + 1}}{ln ( 2 )} d u = \frac{1}{ln ^{2} ( 2 )} \cdot 2^{1 + u}

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

Berechne die Grenzen:

\frac{44 ln ( 2 ) - 12}{ln ^{2} ( 2 )}

= \frac{44 ln ( 2 ) - 12}{ln ^{2} ( 2 )}

Graph

Beliebte Beispiele

integral of 2/((x+2)^2)

\int \frac{2}{( x + 2 ) ^{2}} d x

derivative of 3x^4+4x^3

\frac{d}{d x} (3 x^{4} + 4 x^{3})

(\partial)/(\partial x)(60-x^2y^3)

\frac{\partial}{\partial x} (60 - x^{2} y^{3})

integral from-125 to 27 of 1/(x^{1/3)}

\int_{- 125}^{27} \frac{1}{x ^{\frac{1}{3}}} d x

derivative (2x^7-5x^4+2)^{25}

d er i v a t i v e (2 x^{7} - 5 x^{4} + 2)^{25}