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Popular >

integral from 0 to 1 of x^2-4x+7

Solution

\int_{0}^{1} x^{2} - 4 x + 7 d x

Solution

\frac{16}{3}

+1

Decimal Notation

5.33333 \dots

Solution steps

\int_{0}^{1} x^{2} - 4 x + 7 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}^{1} x^{2} d x - \int_{0}^{1} 4 x d x + \int_{0}^{1} 7 d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} 4 x d x = 2

\int_{0}^{1} 7 d x = 7

= \frac{1}{3} - 2 + 7

Simplify

\frac{1}{3} - 2 + 7 : \frac{16}{3}

= \frac{16}{3}

Popular Examples

integral from 0 to pi/6 of 3cos(x)+1

\int_{0}^{\frac{π}{6}} 3 cos (x) + 1 d x

integral from 0 to 2 of x3^{-x^2}

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

integral from 0 to 2 of (ln(x))/x

\int_{0}^{2} \frac{ln ( x )}{x} d x

integral from-5 to 0 of (2-sqrt(25-x^2))

\int_{- 5}^{0} (2 - 25 - x^{2}) d x

integral from-2 to 4 of 2/(x^3)

\int_{- 2}^{4} \frac{2}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-4x+7 ?
The integral from 0 to 1 of x^2-4x+7 is 16/3