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Beliebt Rechnen >

integral of 5^{ln(x)}

Lösung

\int 5^{l n (x)} d x

Lösung

5^{l n (x)} x - \frac{1}{ln ( 5 ) + 1} ln (5) x^{l n (5) + 1} + C

Schritte zur Lösung

\int 5^{l n (x)} d x

Wende die partielle Integration an

= 5^{l n (x)} x - \int ln (5) x^{l n (5)} d x

\int ln (5) x^{l n (5)} d x = \frac{1}{ln ( 5 ) + 1} ln (5) x^{l n (5) + 1}

= 5^{l n (x)} x - \frac{1}{ln ( 5 ) + 1} ln (5) x^{l n (5) + 1}

Füge eine Konstante zur Lösung hinzu

= 5^{l n (x)} x - \frac{1}{ln ( 5 ) + 1} ln (5) x^{l n (5) + 1} + C

Graph

Beliebte Beispiele

integral of 2x\sqrt[3]{x^2+1}

\int 2 x 3 x^{2} + 1 d x

integral of 1/(sqrt(x)(1+\sqrt{x))^4}

\int \frac{1}{x ( 1 + x ) ^{4}} d x

integral of (x^5)/(x^{12)+2}

\int \frac{x ^{5}}{x ^{12} + 2} d x

integral of 2/(sin^2(s))

\int \frac{2}{sin ^{2} ( s )} d s

integral of (4^x)/(sqrt(2))-2sqrt(x)

\int \frac{4 ^{x}}{2} - 2 x d x