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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{π}{4} + 1

+1

Dezimale

0.21460 \dots

Schritte zur Lösung

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

Umschreiben mit Hilfe von Trigonometrie-Identitäten

= \int_{0}^{\frac{π}{4}} - 1 + sec^{2} (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{0}^{\frac{π}{4}} 1 d x + \int_{0}^{\frac{π}{4}} sec^{2} (x) d x

\int_{0}^{\frac{π}{4}} 1 d x = \frac{π}{4}

\int_{0}^{\frac{π}{4}} sec^{2} (x) d x = 1

= - \frac{π}{4} + 1

Graph

Beliebte Beispiele

limit as x approaches 8 of 7x+|x-8|

x \to 8 lim (7 x + ∣ x - 8 ∣)

integral of (ln(1+x^2))/(x^2)

\int \frac{ln ( 1 + x ^{2} )}{x ^{2}} d x

2y^{''}+20y^'+50y=0

2 y^{^{''}} + 20 y^{^{'}} + 50 y = 0

(\partial)/(\partial x)(2sqrt(x^2+y^2))

\frac{\partial}{\partial x} (2 x^{2} + y^{2})

derivative of x^{25}

\frac{d}{d x} (x^{25})