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Popular >

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

Solution

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

Solution

\frac{17}{12}

+1

Decimal

1.41666 \dots

Solution steps

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

\int_{1}^{2} x^{3} d x = \frac{15}{4}

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

= \frac{15}{4} - \frac{7}{3}

Simplify

\frac{15}{4} - \frac{7}{3} : \frac{17}{12}

= \frac{17}{12}

Graph

Popular Examples

integral from-2 to 1 of x+2

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

integral from 1 to infinity of x*4/(x^5)

\int_{1}^{\infty} x \cdot \frac{4}{x ^{5}} d x

integral from 1 to 3 of ((x^2+5))/x

\int_{1}^{3} \frac{( x ^{2} + 5 )}{x} d x

integral from 4 to 7 of xln(ln(x))

\int_{4}^{7} x ln (ln (x)) d x

integral from 0 to 1 of xcos(2x)

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

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^3-x^2 ?
The integral from 1 to 2 of x^3-x^2 is 17/12