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Popular >

integral from 0 to 4 of 2x^2+5

Solution

\int_{0}^{4} 2 x^{2} + 5 d x

Solution

\frac{188}{3}

+1

Solution steps

\int_{0}^{4} 2 x^{2} + 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_{0}^{4} 2 x^{2} d x + \int_{0}^{4} 5 d x

\int_{0}^{4} 2 x^{2} d x = \frac{128}{3}

\int_{0}^{4} 5 d x = 20

= \frac{128}{3} + 20

Simplify

\frac{128}{3} + 20 : \frac{188}{3}

= \frac{188}{3}

Popular Examples

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\int_{- 1}^{1} ∣ x + 2 ∣ d x

integral from-2021 to 2021 of x^5

\int_{- 2021}^{2021} x^{5} d x

integral from 1 to 2 of xsqrt(2x-1)

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

integral from 1 to x of 2x^2y^{-2}+2y

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

integral from 0 to 5 of 3x^2

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 2x^2+5 ?
The integral from 0 to 4 of 2x^2+5 is 188/3