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Beliebt Rechnen >

integral of (sin(x)+1)'

Lösung

\int (sin (x) + 1)^{'} d x

Lösung

x (sin (x) + 1)' - x cos (x) + sin (x) + C

Schritte zur Lösung

\int (sin (x) + 1)^{'} d x

Wende die partielle Integration an

= x (sin (x) + 1)^{^{'}} - \int - x sin (x) d x

\int - x sin (x) d x = x cos (x) - sin (x)

= x (sin (x) + 1)^{^{'}} - (x cos (x) - sin (x))

Vereinfache

= x (sin (x) + 1)^{^{'}} - x cos (x) + sin (x)

Füge eine Konstante zur Lösung hinzu

= x (sin (x) + 1)^{^{'}} - x cos (x) + sin (x) + C

Graph

Beliebte Beispiele

integral of 3/(xsqrt(36x^2-1))

\int \frac{3}{x 36 x ^{2} - 1} d x

integral of 11x^{10}(x^{11})^{10}

\int 11 x^{10} (x^{11})^{10} d x

integral of 2/(sqrt(x^2-16))

\int \frac{2}{x ^{2} - 16} d x

integral of (4+u+u^2)

\int (4 + u + u^{2}) d u

integral of 10cos(ln(x))

\int 10 cos (ln (x)) d x