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Popular >

integral from 3 to 6 of x^2

Solution

\int_{3}^{6} x^{2} d x

Solution

63

Solution steps

\int_{3}^{6} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{3}^{6}

= [\frac{x ^{3}}{3}]_{3}^{6}

Compute the boundaries:

63

= 63

Popular Examples

integral of (x^3+36)/(x^2+36)

\int \frac{x ^{3} + 36}{x ^{2} + 36} d x

derivative of 10+1/4 sin(10pix)

\frac{d}{d x} (10 + \frac{1}{4} sin (10 π x))

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

\int \frac{ln ^{3} ( x )}{2} d x

tangent of y=sqrt(x^3+1),(2,3)tangent of

y = x^{3} + 1, (2, 3)

limit as x approaches 0 of xcot(3/5 x)

x \to 0 lim (x cot (\frac{3}{5} x))

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of x^2 ?
The integral from 3 to 6 of x^2 is 63