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Beliebt Rechnen >

integral of 6t+tsin(t^2+1)

Lösung

\int 6 t + t sin (t^{2} + 1) d t

Lösung

3 t^{2} - \frac{1}{2} cos (t^{2} + 1) + C

Schritte zur Lösung

\int 6 t + t sin (t^{2} + 1) 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 6 t d t + \int t sin (t^{2} + 1) d t

\int 6 t d t = 3 t^{2}

\int t sin (t^{2} + 1) d t = - \frac{1}{2} cos (t^{2} + 1)

= 3 t^{2} - \frac{1}{2} cos (t^{2} + 1)

Füge eine Konstante zur Lösung hinzu

= 3 t^{2} - \frac{1}{2} cos (t^{2} + 1) + C

Graph

Beliebte Beispiele

integral of sec^2(3x)+tan(6x)

\int sec^{2} (3 x) + tan (6 x) d x

integral of (x^2)/((x^2+9)^3)

\int \frac{x ^{2}}{( x ^{2} + 9 ) ^{3}} d x

integral of sin^7(2x)cos^3(2x)

\int sin^{7} (2 x) cos^{3} (2 x) d x

integral of 1/(sqrt(2+9x^2))

\int \frac{1}{2 + 9 x ^{2}} d x

integral of xcos(6pix^2)

\int x cos (6 π x^{2}) d x