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Popular >

integral from 1 to 2 of x^3+2

Solution

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

Solution

\frac{23}{4}

+1

Decimal Notation

5.75

Solution steps

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

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

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

= \frac{15}{4} + 2

Simplify

\frac{15}{4} + 2 : \frac{23}{4}

= \frac{23}{4}

Popular Examples

integral of (x^3-2)/(x^3-x^2)

\int \frac{x ^{3} - 2}{x ^{3} - x ^{2}} d x

integral of 1/(x^{10)}

\int \frac{1}{x ^{10}} d x

derivative of 1/((3-x)^2)derivative of

\frac{1}{( 3 - x ) ^{2}}

integral of 1/(x^2+12x+61)

\int \frac{1}{x ^{2} + 12 x + 61} d x

limit as x approaches 6 of 2/(x-6)

x \to 6 lim (\frac{2}{x - 6})

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of x^3+2 ?
The integral from 1 to 2 of x^3+2 is 23/4