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Popular >

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

Solution

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

Solution

21

Solution steps

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

\int_{0}^{3} 3 x^{2} d x = 27

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

= 27 - 6

Simplify

= 21

Popular Examples

integral from 0 to 3 of sin(x+1)

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

integral from-1 to 1 of 2tsqrt(1+36t^2)

\int_{- 1}^{1} 2 t 1 + 36 t^{2} d t

integral from 1 to 2 of x/((x+2)^3)

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

integral from-3 to 11/5 of 1

\int_{- 3}^{\frac{11}{5}} 1 d x

integral from 0 to 1 of (8x)/((2x+1)^3)

\int_{0}^{1} \frac{8 x}{( 2 x + 1 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (3x^2-2) ?
The integral from 0 to 3 of (3x^2-2) is 21