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Beliebt Rechnen >

integral from-1 to 3 of-x^2+2x+3

Lösung

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

Lösung

\frac{32}{3}

+1

Dezimale

10.66666 \dots

Schritte zur Lösung

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

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

\int_{- 1}^{3} 2 x d x = 8

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

= - \frac{28}{3} + 8 + 12

Vereinfache

- \frac{28}{3} + 8 + 12 : \frac{32}{3}

= \frac{32}{3}

Graph

Beliebte Beispiele

f^'(x)=sqrt(x)(3+5x),f(1)=7

f^{^{'}} (x) = x (3 + 5 x), f (1) = 7

integral of (sin(x))/(sin(x)+cos(x))

\int \frac{sin ( x )}{sin ( x ) + cos ( x )} d x

solvefor f,tan(f)(x)=7x^4+4 x/2 sqrt(x^3+1)

so l v e f or f, tan (f) (x) = 7 x^{4} + 4 \frac{x}{2} x^{3} + 1

integral of (1/(x^3)+7/(x^2))

\int (\frac{1}{x ^{3}} + \frac{7}{x ^{2}}) d x

tangent f(x)=x^2+5,(2,9)

t an g e n t f (x) = x^{2} + 5, (2, 9)