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Popular Calculus >

integral of 7/2 x

Solution

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

Solution

\frac{7 x ^{2}}{4} + C

Solution steps

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

Apply the Power Rule

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

Simplify

\frac{7}{2} \cdot \frac{x ^{2}}{2} : \frac{7 x ^{2}}{4}

= \frac{7 x ^{2}}{4}

Add a constant to the solution

= \frac{7 x ^{2}}{4} + C

Graph

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\int - ln (x - 2) d x

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\int x^{5} 14 + x^{6} d x

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\int \frac{2}{x ^{2} ( x + 1 )} d x

integral of 3x^2+2x^2

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

integral of (x^2+4x+5)/(x^2)

\int \frac{x ^{2} + 4 x + 5}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 7/2 x ?
The integral of 7/2 x is (7x^2)/4+C