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Popular >

integral of 8x-5

Solution

\int 8 x - 5 d x

Solution

4 x^{2} - 5 x + C

Solution steps

\int 8 x - 5 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 8 x d x - \int 5 d x

\int 8 x d x = 4 x^{2}

\int 5 d x = 5 x

= 4 x^{2} - 5 x

Add a constant to the solution

= 4 x^{2} - 5 x + C

Popular Examples

area 1/(3(1+x^2)), 1/6 x^2 area

\frac{1}{3 ( 1 + x ^{2} )}, \frac{1}{6} x^{2}

xy^{''}+2y^'=4x^2

x y^{^{''}} + 2 y^{^{'}} = 4 x^{2}

derivative of log_{4}(x^2+3)

\frac{d}{d x} (lo g_{4} (x^{2} + 3))

integral of 1/(sqrt(x)(\sqrt{x)+1)}

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

tangent of x^3-3x^2+2x-2,\at x=2 tangent of

x^{3} - 3 x^{2} + 2 x - 2, at x = 2

Frequently Asked Questions (FAQ)

What is the integral of 8x-5 ?
The integral of 8x-5 is 4x^2-5x+C