integral from 3 to 2 of sin(x)

Lösung

\int_{3}^{2} sin (x) d x

cos (3) - cos (2)

Dezimale

- 0.57384 \dots

Schritte zur Lösung

\int_{3}^{2} sin (x) d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{2}^{3} sin (x) d x

Nutze das gemeinsame Integral :

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

= - [- cos (x)]_{2}^{3}

Berechne die Grenzen:

- cos (3) + cos (2)

= - (- cos (3) + cos (2))

Vereinfache

= cos (3) - cos (2)

\int_{0}^{2 π} cos^{2} (3 x) d x

\int_{0}^{π} x^{3} sin (n x) d x

\int_{0}^{0.4} ln (1 + x^{2}) d x

\int_{1}^{2} 5^{3 x} d x

\int_{- 1}^{1} ∣ 3^{x} - 2^{x} ∣ d x