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Popular >

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

Solution

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

Solution

27

Solution steps

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

\int_{0}^{3} 2 x^{2} d x = 18

\int_{0}^{3} 3 d x = 9

= 18 + 9

Simplify

= 27

Popular Examples

integral from 1 to 4 of (x^{1/2}-x^2)

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

integral from ln(2) to ln(8) of e^x

\int_{l n (2)}^{l n (8)} e^{x} d x

integral from 4 to 8 of 9

\int_{4}^{8} 9 d x

integral from 0 to 2 of x^2-(-x^2+4x)

\int_{0}^{2} x^{2} - (- x^{2} + 4 x) d x

integral from-8 to 7 of (1-x)

\int_{- 8}^{7} (1 - x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (2x^2+3) ?
The integral from 0 to 3 of (2x^2+3) is 27