What is the integral from-2 to 3 of (4x^5-5) ?

The integral from-2 to 3 of (4x^5-5) is 1255/3

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integral from-2 to 3 of (4x^5-5)

\int_{- 2}^{3} (4 x^{5} - 5) d x

\frac{1255}{3}

Decimal

418.33333 \dots

Solution steps

\int_{- 2}^{3} 4 x^{5} - 5 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_{- 2}^{3} 4 x^{5} d x - \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 4 x^{5} d x = \frac{1330}{3}

\int_{- 2}^{3} 5 d x = 25

= \frac{1330}{3} - 25

Simplify

\frac{1330}{3} - 25 : \frac{1255}{3}

= \frac{1255}{3}

\int_{3}^{5} \frac{6}{x ^{2}} d x

\int_{5}^{10} - 0.6 x^{2} + 4 x + 4 d x

\int_{- 1}^{1} x (x^{2} + 5 x)^{3} d x

\int_{1}^{9} 4 u d u

\int_{0}^{π} 5 x cos (x) d x

What is the integral from-2 to 3 of (4x^5-5) ?
The integral from-2 to 3 of (4x^5-5) is 1255/3