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Popular Calculus >

integral of 7/2 x^2

Solution

\int \frac{7}{2} x^{2} d x

Solution

\frac{7 x ^{3}}{6} + C

Solution steps

\int \frac{7}{2} x^{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{7}{2} \cdot \int x^{2} d x

Apply the Power Rule

= \frac{7}{2} \cdot \frac{x ^{3}}{3}

Simplify

\frac{7}{2} \cdot \frac{x ^{3}}{3} : \frac{7 x ^{3}}{6}

= \frac{7 x ^{3}}{6}

Add a constant to the solution

= \frac{7 x ^{3}}{6} + C

Graph

Popular Examples

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im pl i c i t \frac{d y}{d x}, y = x^{- 10 c o s (x)}

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tangent of f(x)= 7/x ,\at x=4

t an g e n t f (x) = \frac{7}{x}, at x = 4

derivative of (7e^x)/((7+e^x)^2)

d er i v a t i v e \frac{7 e ^{x}}{( 7 + e ^{x} ) ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of 7/2 x^2 ?
The integral of 7/2 x^2 is (7x^3)/6+C