de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of ln(e^{(1-sin(x))/3})

Lösung

\int ln (e^{\frac{1 - s i n ( x )}{3}}) d x

Lösung

x ln (e^{\frac{1}{3} (1 - s i n (x))}) + \frac{1}{3} (x sin (x) + cos (x)) + C

Schritte zur Lösung

\int ln (e^{\frac{1 - s i n ( x )}{3}}) d x

Wende die partielle Integration an

= x ln (e^{\frac{1}{3} (1 - s i n (x))}) - \int - \frac{1}{3} x cos (x) d x

\int - \frac{1}{3} x cos (x) d x = - \frac{1}{3} (x sin (x) + cos (x))

= x ln (e^{\frac{1}{3} (1 - s i n (x))}) - (- \frac{1}{3} (x sin (x) + cos (x)))

Vereinfache

= x ln (e^{\frac{1}{3} (1 - s i n (x))}) + \frac{1}{3} (x sin (x) + cos (x))

Füge eine Konstante zur Lösung hinzu

= x ln (e^{\frac{1}{3} (1 - s i n (x))}) + \frac{1}{3} (x sin (x) + cos (x)) + C

Graph

Beliebte Beispiele

integral of 1+1/t

\int 1 + \frac{1}{t} d t

integral of cos(4x)sin(7x)

\int cos (4 x) sin (7 x) d x

integral x^5e^{2x^3}

in t e g r a l x^{5} e^{2 x^{3}}

integral of 2x*2^x

\int 2 x \cdot 2^{x} d x

integral of (ln(x))/(x(2-ln(x)))

\int \frac{ln ( x )}{x ( 2 - ln ( x ) )} d x