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Popular >

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

Solution

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

Solution

- \frac{40}{3}

+1

Decimal Notation

- 13.33333 \dots

Solution steps

\int_{0}^{2} - 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_{0}^{2} 2 x^{2} d x - \int_{0}^{2} 4 d x

\int_{0}^{2} 2 x^{2} d x = \frac{16}{3}

\int_{0}^{2} 4 d x = 8

= - \frac{16}{3} - 8

Simplify

- \frac{16}{3} - 8 : - \frac{40}{3}

= - \frac{40}{3}

Popular Examples

area y= 1/2 x,y= 6/x area

y = \frac{1}{2} x, y = \frac{6}{x}

integral of (t^3)/(1+t)

\int \frac{t ^{3}}{1 + t} d t

integral of cos^4(x)sin^5(x)

\int cos^{4} (x) sin^{5} (x) d x

2xy^'+y=6x,y(4)=23

2 x y^{^{'}} + y = 6 x, y (4) = 23

derivative of 6x^5ln(x+x^5)

\frac{d}{d x} (6 x^{5} ln (x) + x^{5})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-2x^2-4 ?
The integral from 0 to 2 of-2x^2-4 is -40/3