integral of (cos(2y)-3x^2y^2)

Lösung

\int (cos (2 y) - 3 x^{2} y^{2}) d x

cos (2 y) x - y^{2} x^{3} + C

Schritte zur Lösung

\int cos (2 y) - 3 x^{2} y^{2} 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 cos (2 y) d x - \int 3 y^{2} x^{2} d x

\int cos (2 y) d x = cos (2 y) x

\int 3 y^{2} x^{2} d x = y^{2} x^{3}

= cos (2 y) x - y^{2} x^{3}

Füge eine Konstante zur Lösung hinzu

= cos (2 y) x - y^{2} x^{3} + C

\frac{d}{d x} (\frac{1}{2 3 x - 1})

t an g e n t f (x) = 8 (x - \frac{1}{x})^{4}, at x = 2

d e g 2 r a d (sin (x^{'}))^{^{'}}

d er i v a t i v e x - 2 + \frac{( x + 1 ) ^{2}}{2}

\int_{0}^{1} π (y - y^{2}) d y