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Beliebt Rechnen >

f^'(x)=((5x^2-9x+8))/(7x+6)

Lösung

f^{^{'}} (x) = \frac{( 5 x ^{2} - 9 x + 8 )}{7 x + 6}

Lösung

f (x) = \frac{5 x ^{2}}{14} - \frac{93}{49} x + \frac{950}{343} ln (7 x + 6) + c_{1}

Schritte zur Lösung

f^{'} (x) = \frac{( 5 x ^{2} - 9 x + 8 )}{7 x + 6}

Wenn

f^{^{'}} (x) = g (x)

dann

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

f (x) = \int \frac{5 x ^{2} - 9 x + 8}{7 x + 6} d x

\int \frac{5 x ^{2} - 9 x + 8}{7 x + 6} d x = \frac{5 x ^{2}}{14} - \frac{93}{49} x + \frac{950}{343} ln (7 x + 6) + c_{1}

f (x) = \frac{5 x ^{2}}{14} - \frac{93}{49} x + \frac{950}{343} ln (7 x + 6) + c_{1}

Graph

Beliebte Beispiele

integral of x^5cos(2x)

\int x^{5} cos (2 x) d x

tangent y=(1+4x)^{3/2},\at x=2

t an g e n t y = (1 + 4 x)^{\frac{3}{2}}, at x = 2

(x+2y)dx+(2x-y)dy=0

(x + 2 y) d x + (2 x - y) d y = 0

y^{''}-3y^'+2y=0

y^{^{''}} - 3 y^{^{'}} + 2 y = 0

sqrt(x)+sqrt(y)y^'=0

x + y y^{^{'}} = 0