integral from 0 to pi/4 of 5sec^2(x)

Lösung

\int_{0}^{\frac{π}{4}} 5 sec^{2} (x) d x

5

Schritte zur Lösung

\int_{0}^{\frac{π}{4}} 5 sec^{2} (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0}^{\frac{π}{4}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

\int sec^{2} (x) d x = tan (x)

= 5 [tan (x)]_{0}^{\frac{π}{4}}

Berechne die Grenzen:

1

= 5 \cdot 1

Vereinfache

= 5

\int \frac{1}{x ^{2} x ^{2} + 4} d x

y^{^{'}} + 4 x^{3} y^{2} = 0

\frac{\partial}{\partial x} (x^{2} - 5 x^{2} y - 6 x y^{2})

\int \frac{x ^{2} - x}{1 + 3 x ^{2} - 2 x ^{3}} d x

d er i v a t i v e y = (x^{2} + 1)