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Popular >

integral from 0 to 4 of x^2-4x+9

Solution

\int_{0}^{4} x^{2} - 4 x + 9 d x

Solution

\frac{76}{3}

+1

Decimal Notation

25.33333 \dots

Solution steps

\int_{0}^{4} x^{2} - 4 x + 9 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} x^{2} d x - \int_{0}^{4} 4 x d x + \int_{0}^{4} 9 d x

\int_{0}^{4} x^{2} d x = \frac{64}{3}

\int_{0}^{4} 4 x d x = 32

\int_{0}^{4} 9 d x = 36

= \frac{64}{3} - 32 + 36

Simplify

\frac{64}{3} - 32 + 36 : \frac{76}{3}

= \frac{76}{3}

Popular Examples

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

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

integral from 0 to 1 of 1-2x

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

integral from-pi to 0 of x*sin(nx)

\int_{- π}^{0} x \cdot sin (n x) d x

integral from 1 to x of sqrt(cos(t)-1)

\int_{1}^{x} cos (t) - 1 d t

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of x^2-4x+9 ?
The integral from 0 to 4 of x^2-4x+9 is 76/3