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Popular >

integral of (x-7)

Solution

\int (x - 7) d x

Solution

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

Solution steps

\int x - 7 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x d x - \int 7 d x

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

\int 7 d x = 7 x

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

Add a constant to the solution

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

Popular Examples

integral of sin(pi/x)

\int sin (\frac{π}{x}) d x

integral of (x^2-3sqrt(x))/(\sqrt[3]{x)}

integral of (2x^4+3x^2+4)/(x^2+1)

\int \frac{2 x ^{4} + 3 x ^{2} + 4}{x ^{2} + 1} d x

integral of (10sec^2(3x))/(tan(3x)-3)

\int \frac{10 sec ^{2} ( 3 x )}{tan ( 3 x ) - 3} d x

integral of (9x^2-3x+1)/(x^3-x^2)

\int \frac{9 x ^{2} - 3 x + 1}{x ^{3} - x ^{2}} d x

Frequently Asked Questions (FAQ)

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