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Popular >

integral from 0 to 3 of x^2-2x+3

Solution

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

Solution

9

Solution steps

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

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 2 x d x = 9

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

= 9 - 9 + 9

Simplify

= 9

Popular Examples

integral from 0 to 1 of tsqrt(1+36t^2)

\int_{0}^{1} t 1 + 36 t^{2} d t

integral from 0 to 1 of e^{4x}-e^{2x}

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

integral from a to a+b of 1/x

\int_{a}^{a + b} \frac{1}{x} d x

integral from 1 to e of (((ln(x))^5))/x

\int_{1}^{e} \frac{( ( ln ( x ) ) ^{5} )}{x} d x

integral from 2y to 3-y of (x+y)

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of x^2-2x+3 ?
The integral from 0 to 3 of x^2-2x+3 is 9