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Popular >

integral from-2 to 2 of 28-7x^2

Solution

\int_{- 2}^{2} 28 - 7 x^{2} d x

Solution

\frac{224}{3}

+1

Decimal Notation

74.66666 \dots

Solution steps

\int_{- 2}^{2} 28 - 7 x^{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_{- 2}^{2} 28 d x - \int_{- 2}^{2} 7 x^{2} d x

\int_{- 2}^{2} 28 d x = 112

\int_{- 2}^{2} 7 x^{2} d x = \frac{112}{3}

= 112 - \frac{112}{3}

Simplify

112 - \frac{112}{3} : \frac{224}{3}

= \frac{224}{3}

Popular Examples

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

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\int_{0}^{4} (5 x + 3) d x

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

\int_{0}^{1} (x + 1) sin (nπ x) d x

integral from-2 to 0 of (3x^3-x^2-9x-1)

\int_{- 2}^{0} (3 x^{3} - x^{2} - 9 x - 1) d x

integral from 5 to 1 of x^2

\int_{5}^{1} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 28-7x^2 ?
The integral from-2 to 2 of 28-7x^2 is 224/3