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Popular >

integral from-1 to 1 of 5x^2-1

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

\int_{- 1}^{1} 5 x^{2} d x = \frac{10}{3}

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

= \frac{10}{3} - 2

Simplify

\frac{10}{3} - 2 : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral from-5 to 9 of \sqrt[3]{x}

integral from-3 to 0 of 5e^{-jωt}

\int_{- 3}^{0} 5 e^{- jω t} d t

integral from 0 to pi/4 of sec^4(x/4)

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

integral from 0 to x/4 of e^{-x^2}

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

integral from 1 to 3 of 1/(xsqrt(4+x^2))

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

Frequently Asked Questions (FAQ)

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