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Popular >

integral from 0 to 2 of (2x^3+3)

Solution

\int_{0}^{2} (2 x^{3} + 3) d x

Solution

14

Solution steps

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

\int_{0}^{2} 2 x^{3} d x = 8

\int_{0}^{2} 3 d x = 6

= 8 + 6

Simplify

= 14

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\int_{0}^{1} x (1 - x)^{3} d x

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\int_{0}^{4} \frac{1}{x - 2} d x

integral from 3 to infinity of 1/(x^5)

\int_{3}^{\infty} \frac{1}{x ^{5}} d x

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\int_{0}^{1} e^{t x} 2 x d x

integral from 0 to 2 of 8x-x^4

\int_{0}^{2} 8 x - x^{4} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (2x^3+3) ?
The integral from 0 to 2 of (2x^3+3) is 14