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Popular >

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

Solution

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

Solution

\frac{7}{2}

+1

Decimal Notation

3.5

Solution steps

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

\int_{1}^{2} 2 x^{3} d x = \frac{15}{2}

\int_{1}^{2} 4 d x = 4

= \frac{15}{2} - 4

Simplify

\frac{15}{2} - 4 : \frac{7}{2}

= \frac{7}{2}

Popular Examples

derivative of f(x)=(1+6x^2)(x-x^2)derivative of

f (x) = (1 + 6 x^{2}) (x - x^{2})

sum from n=1 to infinity of (nx^n)/(n+1)

n = 1 \sum \infty \frac{n x ^{n}}{n + 1}

integral from 0 to 2 of (e^x)^2

\int_{0}^{2} (e^{x})^{2} d x

integral of-x^2+2x

\int - x^{2} + 2 x d x

derivative of (x^6/3)

\frac{d}{d x} (\frac{x ^{6}}{3})

Frequently Asked Questions (FAQ)

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