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Popular >

integral from 0 to 5 of 15x^3-2

Solution

\int_{0}^{5} 15 x^{3} - 2 d x

Solution

\frac{9335}{4}

+1

Decimal Notation

2333.75

Solution steps

\int_{0}^{5} 15 x^{3} - 2 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_{0}^{5} 15 x^{3} d x - \int_{0}^{5} 2 d x

\int_{0}^{5} 15 x^{3} d x = \frac{9375}{4}

\int_{0}^{5} 2 d x = 10

= \frac{9375}{4} - 10

Simplify

\frac{9375}{4} - 10 : \frac{9335}{4}

= \frac{9335}{4}

Popular Examples

integral from 0 to 5 of (10x+7)

\int_{0}^{5} (10 x + 7) d x

integral from 1/4 to 1/2 of x

\int_{\frac{1}{4}}^{\frac{1}{2}} x d x

integral from 0 to 27 of \sqrt[3]{x}-1/x

integral from-pi to pi of sin^2(x)cos(x)

\int_{- π}^{π} sin^{2} (x) cos (x) d x

integral from 4 to 6 of x/(x-3)

\int_{4}^{6} \frac{x}{x - 3} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of 15x^3-2 ?
The integral from 0 to 5 of 15x^3-2 is 9335/4