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Beliebt Rechnen >

integral of cos(x)\sqrt[7]{5+sin(x)}

Lösung

\int cos (x) 7 5 + sin (x) d x

Lösung

\frac{7}{8} (5 + sin (x))^{\frac{8}{7}} + C

Schritte zur Lösung

\int cos (x) 7 5 + sin (x) d x

Wende U-Substitution an

= \int 7 u d u

Wende die Potenzregel an

= \frac{7}{8} u^{\frac{8}{7}}

Setze in

u = 5 + sin (x)

ein

= \frac{7}{8} (5 + sin (x))^{\frac{8}{7}}

Füge eine Konstante zur Lösung hinzu

= \frac{7}{8} (5 + sin (x))^{\frac{8}{7}} + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xy-x^2y)

\frac{\partial}{\partial x} (x y - x^{2} y)

(\partial)/(\partial x)(2xz^3e^{y^2})

\frac{\partial}{\partial x} (2 x z^{3} e^{y^{2}})

integral of 1/(sqrt(1+z^2))

\int \frac{1}{1 + z ^{2}} d z

derivative f(x)=4(4e^x-25)^7

d er i v a t i v e f (x) = 4 (4 e^{x} - 25)^{7}

tangent y=15-x^2,(1,14)

t an g e n t y = 15 - x^{2}, (1, 14)