de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of sin(0.01t)+t^3

Lösung

\int sin (0.01 t) + t^{3} d t

Lösung

- 100 cos (0.01 t) + 0.25 t^{4} + C

Schritte zur Lösung

\int sin (0.01 t) + t^{3} d t

Wende die Summenregel an:

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

= \int sin (0.01 t) d t + \int t^{3} d t

\int sin (0.01 t) d t = - 100 cos (0.01 t)

\int t^{3} d t = \frac{t ^{4}}{4}

= - 100 cos (0.01 t) + \frac{t ^{4}}{4}

Vereinfache

= - 100 cos (0.01 t) + 0.25 t^{4}

Füge eine Konstante zur Lösung hinzu

= - 100 cos (0.01 t) + 0.25 t^{4} + C

Graph

Beliebte Beispiele

integral of x(7-x^2)

\int x (7 - x^{2}) d x

integral of log_{3}(6x^2)x

\int lo g_{3} (6 x^{2}) x d x

integral of (2x^3+x+2)^2

\int (2 x^{3} + x + 2)^{2} d x

integral of 4/(sqrt(x^2+4))

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

integral of (x^3-5x+10)*sin(2x)

\int (x^{3} - 5 x + 10) \cdot sin (2 x) d x