integral from 4 to 3 of sin(t)

Lösung

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

cos (4) - cos (3)

Dezimale

0.33634 \dots

Schritte zur Lösung

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

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

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

Nutze das gemeinsame Integral :

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

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

Berechne die Grenzen:

- cos (4) + cos (3)

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

Vereinfache

= cos (4) - cos (3)

\int_{0}^{1} 3 (1 - y)^{2} d y

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