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Popular >

integral of (-5x+1)

Solution

\int (- 5 x + 1) d x

Solution

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

Solution steps

\int - 5 x + 1 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 5 x d x + \int 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of 1/(sqrt(x)(\sqrt[4]{x)+1)^5}

integral of (4y)/(sqrt(x^3))

\int \frac{4 y}{x ^{3}} d x

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

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

integral of 9x(4+3x)^5

\int 9 x (4 + 3 x)^{5} d x

integral of (3y^2)/(x-5)

\int \frac{3 y ^{2}}{x - 5} d x

Frequently Asked Questions (FAQ)

What is the integral of (-5x+1) ?
The integral of (-5x+1) is -(5x^2)/2+x+C