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Popular >

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

Solution

\int_{- 1}^{1} (4 x^{2} + 3) d x

Solution

\frac{26}{3}

+1

Decimal

8.66666 \dots

Solution steps

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

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

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

= \frac{8}{3} + 6

Simplify

\frac{8}{3} + 6 : \frac{26}{3}

= \frac{26}{3}

Graph

Popular Examples

integral from-2 to 3 of (3x-2)(x+3)

\int_{- 2}^{3} (3 x - 2) (x + 3) d x

integral from 0 to 1 of sqrt(x)+x^2

\int_{0}^{1} x + x^{2} d x

integral from-1 to 1 of e^xx

\int_{- 1}^{1} e^{x} x d x

integral from-1 to 1 of x(x+4)^2

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

integral from 0 to pi/2 of sec(x)tan(x)

\int_{0}^{\frac{π}{2}} sec (x) tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (4x^2+3) ?
The integral from-1 to 1 of (4x^2+3) is 26/3