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Popular >

integral of 7-5x

Solution

\int 7 - 5 x d x

Solution

7 x - \frac{5 x ^{2}}{2} + C

Solution steps

\int 7 - 5 x 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 7 d x - \int 5 x d x

\int 7 d x = 7 x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 7 x - \frac{5 x ^{2}}{2}

Add a constant to the solution

= 7 x - \frac{5 x ^{2}}{2} + C

Popular Examples

integral of (-x^2+1)

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

integral of (2x^3)/(x^2)

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

integral of e^{3x-3}

\int e^{3 x - 3} d x

integral of 2xy+1

\int 2 x y + 1 d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 7-5x ?
The integral of 7-5x is 7x-(5x^2)/2+C