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Beliebt Rechnen >

integral of (7+tan^2(θ))

Lösung

\int (7 + tan^{2} (θ)) d θ

Lösung

6 θ + tan (θ) + C

Schritte zur Lösung

\int 7 + tan^{2} (θ) d θ

Wende die Summenregel an:

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

= \int 7 d θ + \int tan^{2} (θ) d θ

\int 7 d θ = 7 θ

\int tan^{2} (θ) d θ = - θ + tan (θ)

= 7 θ - θ + tan (θ)

Vereinfache

= 6 θ + tan (θ)

Füge eine Konstante zur Lösung hinzu

= 6 θ + tan (θ) + C

Graph

Beliebte Beispiele

integral of (x^3+2x^2-7x)/x

\int \frac{x ^{3} + 2 x ^{2} - 7 x}{x} d x

integral of xsqrt((x+1))

\int x (x + 1) d x

integral of 1/(2sqrt(x)\sqrt{x+1)}

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

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

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

integral of (2/3)/x

\int \frac{\frac{2}{3}}{x} d x