de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{2}{3} + \frac{π}{4}

+1

Dezimale

0.11873 \dots

Schritte zur Lösung

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

Wende integrale Reduktion an

= [\frac{tan ^{3} ( t )}{3}]_{0}^{\frac{π}{4}} - \int_{0}^{\frac{π}{4}} tan^{2} (t) d t

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

= [\frac{tan ^{3} ( t )}{3}]_{0}^{\frac{π}{4}} - (- \frac{π}{4} + 1)

Vereinfache

[\frac{tan ^{3} ( t )}{3}]_{0}^{\frac{π}{4}} - (- \frac{π}{4} + 1) : [\frac{1}{3} tan^{3} (t)]_{0}^{\frac{π}{4}} + \frac{π}{4} - 1

= [\frac{1}{3} tan^{3} (t)]_{0}^{\frac{π}{4}} + \frac{π}{4} - 1

Berechne die Grenzen:

\frac{1}{3}

= \frac{1}{3} + \frac{π}{4} - 1

Vereinfache

= - \frac{2}{3} + \frac{π}{4}

Graph

Beliebte Beispiele

derivative of a-bx

integral of-(sin(x))/(cos^3(x))

derivative of (sin(x+x)^2+7cos(5x))

tangent-(8x)/(x^2+1)

derivative of x^{2/3}*(x-4^2)