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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

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

\int \frac{x}{( 5 - x ^{2} ) ^{2}} d x

36y^{''}+60y^'+25y=0

36 y^{^{''}} + 60 y^{^{'}} + 25 y = 0

integral from 1 to e of ln(7x)

\int_{1}^{e} ln (7 x) d x

derivative of e^xcos(4x)

\frac{d}{d x} (e^{x} cos (4 x))

integral of ((x^2+24))/(x(x-2)^3)

\int \frac{( x ^{2} + 24 )}{x ( x - 2 ) ^{3}} d x

Frequently Asked Questions (FAQ)

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