integral from sin(x) to cos(x) of 1

Lösung

\int_{s i n (x)}^{c o s (x)} 1 d y

cos (x) - sin (x)

Schritte zur Lösung

\int_{s i n (x)}^{c o s (x)} 1 d y

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot y]_{s i n (x)}^{c o s (x)}

Vereinfache

= [y]_{s i n (x)}^{c o s (x)}

Berechne die Grenzen:

cos (x) - sin (x)

= cos (x) - sin (x)

\int_{- 2}^{2} π (e^{x})^{2} d x

\int_{- 2}^{1} (2 x^{2} + 8) d x

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

\int_{- \infty}^{0} x e^{3 x + 1} d x

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