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Popular >

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

Solution

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

Solution

\frac{14}{3}

+1

Decimal Notation

4.66666 \dots

Solution steps

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

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

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

= \frac{8}{3} + 2

Simplify

\frac{8}{3} + 2 : \frac{14}{3}

= \frac{14}{3}

Popular Examples

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

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

integral from-1 to 3 of 3-2x

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

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

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

integral from 0 to 3 of kx^2+1/30

\int_{0}^{3} k x^{2} + \frac{1}{30} d x

integral from y/2 to 1/2 of e^{-x^2}

\int_{\frac{y}{2}}^{\frac{1}{2}} e^{- x^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 4x^2+1 ?
The integral from-1 to 1 of 4x^2+1 is 14/3