integral from 0 to sqrt(x of)ycos(x^2)

Lösung

\int_{0}^{x} y cos (x^{2}) d y

\frac{x cos ( x ^{2} )}{2}

Schritte zur Lösung

\int_{0}^{x} y cos (x^{2}) d y

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= cos (x^{2}) \cdot \int_{0}^{x} y d y

Wende die Potenzregel an

= cos (x^{2}) [\frac{y ^{2}}{2}]_{0}^{x}

Berechne die Grenzen:

\frac{x}{2}

= cos (x^{2}) \frac{x}{2}

Vereinfache

= \frac{x cos ( x ^{2} )}{2}

\int_{0}^{2 π} 4 cos^{2} (θ) d θ

\int_{1}^{2} \frac{5 - 7 x}{x ^{3}} d x

\int_{0}^{1} x^{2} - 4 x + 7 d x

\int_{0}^{\frac{π}{6}} 3 cos (x) + 1 d x

\int_{0}^{2} x 3^{- x^{2}} d x