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Popular >

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

Solution

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

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

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

= - \frac{7}{3} + 4

Simplify

- \frac{7}{3} + 4 : \frac{5}{3}

= \frac{5}{3}

Popular Examples

integral from 0 to 2 of \sqrt[3]{4x}

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

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

integral from 1 to 3 of (x^3)/(sqrt(x))

\int_{1}^{3} \frac{x ^{3}}{x} d x

integral from 0 to pi/4 of x*sin(x)

\int_{0}^{\frac{π}{4}} x \cdot sin (x) d x

integral from 0 to 10 of 1/(sqrt(10-x))

\int_{0}^{10} \frac{1}{10 - x} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of-x^2+4 ?
The integral from 1 to 2 of-x^2+4 is 5/3