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Popular >

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

Solution

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

Solution

24

Solution steps

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

\int_{1}^{2} 3 x^{5} d x = \frac{63}{2}

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

= \frac{63}{2} - \frac{15}{2}

Simplify

\frac{63}{2} - \frac{15}{2} : 24

= 24

Popular Examples

integral from 0 to 3 of 1-e^{-x}

\int_{0}^{3} 1 - e^{- x} d x

integral from 0 to 1 of (x^3-2x+5)

\int_{0}^{1} (x^{3} - 2 x + 5) d x

integral from pi to 0 of sin(x)cos^3(x)

\int_{π}^{0} sin (x) cos^{3} (x) d x

integral from 1 to 3 of 2xsqrt(x^2+9)

\int_{1}^{3} 2 x x^{2} + 9 d x

integral from 2 to infinity of ax^{-5}

\int_{2}^{\infty} a x^{- 5} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 3x^5-2x^3 ?
The integral from 1 to 2 of 3x^5-2x^3 is 24