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Popular >

integral from-1 to 3 of 5x^2-4

Solution

\int_{- 1}^{3} 5 x^{2} - 4 d x

Solution

\frac{92}{3}

+1

Decimal Notation

30.66666 \dots

Solution steps

\int_{- 1}^{3} 5 x^{2} - 4 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}^{3} 5 x^{2} d x - \int_{- 1}^{3} 4 d x

\int_{- 1}^{3} 5 x^{2} d x = \frac{140}{3}

\int_{- 1}^{3} 4 d x = 16

= \frac{140}{3} - 16

Simplify

\frac{140}{3} - 16 : \frac{92}{3}

= \frac{92}{3}

Popular Examples

integral from 0 to 1 of (5^x)/(5^x+1)

\int_{0}^{1} \frac{5 ^{x}}{5 ^{x} + 1} d x

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

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

integral from 0 to 1 of cx^2(1-x)

\int_{0}^{1} c x^{2} (1 - x) d x

integral from 0 to 8 of 8e^{-8x}

\int_{0}^{8} 8 e^{- 8 x} d x

integral from 1 to e of xln(x)-x

\int_{1}^{e} x ln (x) - x d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of 5x^2-4 ?
The integral from-1 to 3 of 5x^2-4 is 92/3