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Popular >

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{x ^{3}}{3}

= \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

Popular Examples

integral of 24x(6x^2+7)^7

\int 24 x (6 x^{2} + 7)^{7} d x

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\int_{0}^{2} x^{2} + 1 d x

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(5.9) (- 4.6)

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