integral from 0 to 1 of x*sin(x)

Lösung

\int_{0}^{1} x \cdot sin (x) d x

sin (1) - cos (1)

Dezimale

0.30116 \dots

Schritte zur Lösung

\int_{0}^{1} x sin (x) d x

Wende die partielle Integration an

= [- x cos (x) - \int - cos (x) d x]_{0}^{1}

\int - cos (x) d x = - sin (x)

= [- x cos (x) - (- sin (x))]_{0}^{1}

Vereinfache

= [- x cos (x) + sin (x)]_{0}^{1}

Berechne die Grenzen:

sin (1) - cos (1)

= sin (1) - cos (1)

\int_{0.5}^{1} cos (π) x ln (x) d x

\int_{0}^{1} y^{3} e^{y^{4}} d y

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

\int_{- 1}^{0} 2 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

\int_{- 1}^{1} - 4 x^{2} + 3 x - 2 d x