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Popular >

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

Solution

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

Solution

\frac{31}{6}

+1

Decimal Notation

5.16666 \dots

Solution steps

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

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

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= \frac{15}{2} - \frac{7}{3}

Simplify

\frac{15}{2} - \frac{7}{3} : \frac{31}{6}

= \frac{31}{6}

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\int_{x}^{4} (2 + u)^{8} d u

integral from-1 to 1 of 1/(|x|)

\int_{- 1}^{1} \frac{1}{∣ x ∣} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 2x^3-x^2 ?
The integral from 1 to 2 of 2x^3-x^2 is 31/6