integral from-1 to 3 of (x^2+6x+3)

Lösung

\int_{- 1}^{3} (x^{2} + 6 x + 3) d x

\frac{136}{3}

Dezimale

45.33333 \dots

Schritte zur Lösung

\int_{- 1}^{3} x^{2} + 6 x + 3 d x

Wende die Summenregel an:

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

= \int_{- 1}^{3} x^{2} d x + \int_{- 1}^{3} 6 x d x + \int_{- 1}^{3} 3 d x

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 6 x d x = 24

\int_{- 1}^{3} 3 d x = 12

= \frac{28}{3} + 24 + 12

Vereinfache

\frac{28}{3} + 24 + 12 : \frac{136}{3}

= \frac{136}{3}

\frac{d ^{3}}{d x ^{3}} (x^{4} - 10 x^{3})

\frac{\partial}{\partial x} (\frac{1}{y + z})

d er i v a t i v e f (x) = \frac{5}{x ^{5}}

y^{^{''}} + 2 y^{^{'}} + y = e^{- t} + 9 e^{5 t}

n \to \infty lim (\frac{i}{n})