de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of sin^2(x)cos(x)e^{sin(x)}

Lösung

\int sin^{2} (x) cos (x) e^{s i n (x)} d x

Lösung

sin^{2} (x) e^{s i n (x)} - 2 (sin (x) e^{s i n (x)} - e^{s i n (x)}) + C

Schritte zur Lösung

\int sin^{2} (x) cos (x) e^{s i n (x)} d x

Wende die partielle Integration an

= sin^{2} (x) e^{s i n (x)} - \int sin (2 x) e^{s i n (x)} d x

\int sin (2 x) e^{s i n (x)} d x = 2 (sin (x) e^{s i n (x)} - e^{s i n (x)})

= sin^{2} (x) e^{s i n (x)} - 2 (sin (x) e^{s i n (x)} - e^{s i n (x)})

Füge eine Konstante zur Lösung hinzu

= sin^{2} (x) e^{s i n (x)} - 2 (sin (x) e^{s i n (x)} - e^{s i n (x)}) + C

Graph

Beliebte Beispiele

integral of (x^9)/((x^5+1)^3)

\int \frac{x ^{9}}{( x ^{5} + 1 ) ^{3}} d x

integral of (1+ln(x))/(sqrt(xln(x)))

\int \frac{1 + ln ( x )}{x ln ( x )} d x

integral of (9cos(x)+5sin(x))

\int (9 cos (x) + 5 sin (x)) d x

integral of y*e^{y^2}

\int y \cdot e^{y^{2}} d y

integral of x^3(2-5x^4)^5

\int x^{3} (2 - 5 x^{4})^{5} d x