What is the integral from-5 to 4 of x^2+5-x ?

The integral from-5 to 4 of x^2+5-x is 225/2

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integral from-5 to 4 of x^2+5-x

\int_{- 5}^{4} x^{2} + 5 - x d x

\frac{225}{2}

Decimal Notation

112.5

Solution steps

\int_{- 5}^{4} x^{2} + 5 - x d x

Apply the Sum Rule:

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

= \int_{- 5}^{4} x^{2} d x + \int_{- 5}^{4} 5 d x - \int_{- 5}^{4} x d x

\int_{- 5}^{4} x^{2} d x = 63

\int_{- 5}^{4} 5 d x = 45

\int_{- 5}^{4} x d x = - \frac{9}{2}

= 63 + 45 - (- \frac{9}{2})

Simplify

63 + 45 - (- \frac{9}{2}) : \frac{225}{2}

= \frac{225}{2}

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\int_{\frac{- π}{4}}^{\frac{π}{4}} cos (x) d x

\int_{0}^{\frac{π}{4}} tan^{3} (θ) d θ

What is the integral from-5 to 4 of x^2+5-x ?
The integral from-5 to 4 of x^2+5-x is 225/2