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Popular Calculus >

integral of 7/(2x^2)

Solution

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

Solution

- \frac{7}{2 x} + 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 \frac{1}{x ^{2}} d x

Apply the Power Rule

= \frac{7}{2} (- \frac{1}{x})

Simplify

\frac{7}{2} (- \frac{1}{x}) : - \frac{7}{2 x}

= - \frac{7}{2 x}

Add a constant to the solution

= - \frac{7}{2 x} + C

Graph

Popular Examples

integral of 1/(cos(2x)-1)

\int \frac{1}{cos ( 2 x ) - 1} d x

integral of ((x^2+y^2+1)/(x^2))

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

integral of ((1-x)(2+x))/x

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

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

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

integral of (6x+3)

\int (6 x + 3) d x

Frequently Asked Questions (FAQ)

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