integral from 4 to 3 of sin(x)

Lösung

\int_{4}^{3} sin (x) d x

cos (4) - cos (3)

Dezimale

0.33634 \dots

Schritte zur Lösung

\int_{4}^{3} sin (x) d x

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

= - \int_{3}^{4} sin (x) d x

Nutze das gemeinsame Integral :

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

= - [- cos (x)]_{3}^{4}

Berechne die Grenzen:

- cos (4) + cos (3)

= - (- cos (4) + cos (3))

Vereinfache

= cos (4) - cos (3)

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

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

\int_{0}^{π} cos (x) sin^{4} (x) d x

\int_{2}^{4} x^{2} - 4 d x

\int_{0}^{1} \frac{1}{1 + y ^{2}} d y