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Popular >

integral from-1 to 1 of 4x^2+7

Solution

\int_{- 1}^{1} 4 x^{2} + 7 d x

Solution

\frac{50}{3}

+1

Decimal Notation

16.66666 \dots

Solution steps

\int_{- 1}^{1} 4 x^{2} + 7 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} 4 x^{2} d x + \int_{- 1}^{1} 7 d x

\int_{- 1}^{1} 4 x^{2} d x = \frac{8}{3}

\int_{- 1}^{1} 7 d x = 14

= \frac{8}{3} + 14

Simplify

\frac{8}{3} + 14 : \frac{50}{3}

= \frac{50}{3}

Popular Examples

integral from 0 to 4 of 6e^{2t}

\int_{0}^{4} 6 e^{2 t} d t

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

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

integral from 0 to x of 0.25e^{-0.25t}

\int_{0}^{x} 0.25 e^{- 0.25 t} d t

integral from 0 to 7 of sin(8x^2)

\int_{0}^{7} sin (8 x^{2}) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 4x^2+7 ?
The integral from-1 to 1 of 4x^2+7 is 50/3