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Popular Calculus >

integral from-1 to 1 of 2x^2-3

Solution

\int_{- 1}^{1} 2 x^{2} - 3 d x

Solution

- \frac{14}{3}

+1

Decimal

- 4.66666 \dots

Solution steps

\int_{- 1}^{1} 2 x^{2} - 3 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}^{1} 2 x^{2} d x - \int_{- 1}^{1} 3 d x

\int_{- 1}^{1} 2 x^{2} d x = \frac{4}{3}

\int_{- 1}^{1} 3 d x = 6

= \frac{4}{3} - 6

Simplify

\frac{4}{3} - 6 : - \frac{14}{3}

= - \frac{14}{3}

Graph

Popular Examples

integral from-1 to 2 of sqrt(4t^2+5)

\int_{- 1}^{2} 4 t^{2} + 5 d t

integral from 0 to 2 of 6x(4-x)

\int_{0}^{2} 6 x (4 - x) d x

integral from 0 to pi/(18) of sin^5(9x)

\int_{0}^{\frac{π}{18}} sin^{5} (9 x) d x

integral from 0 to 5 of 2x-5

\int_{0}^{5} 2 x - 5 d x

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

\int_{0}^{l n (2)} e^{2 x} - e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2x^2-3 ?
The integral from-1 to 1 of 2x^2-3 is -14/3