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Popular >

integral of 4x+10

Solution

\int 4 x + 10 d x

Solution

2 x^{2} + 10 x + C

Solution steps

\int 4 x + 10 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 4 x d x + \int 10 d x

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

\int 10 d x = 10 x

= 2 x^{2} + 10 x

Add a constant to the solution

= 2 x^{2} + 10 x + C

Popular Examples

y^'-4y=-3e^{3t},y(0)=9

y^{^{'}} - 4 y = - 3 e^{3 t}, y (0) = 9

integral of-1/2 e^{-3x}

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

limit as x approaches 0 of (-cos(x))/x

x \to 0 lim (\frac{- cos ( x )}{x})

integral of-x+6

\int - x + 6 d x

integral of ((e^{3x})/3+3x*2^{x^2}-x^4)

\int (\frac{e ^{3 x}}{3} + 3 x \cdot 2^{x^{2}} - x^{4}) d x

Frequently Asked Questions (FAQ)

What is the integral of 4x+10 ?
The integral of 4x+10 is 2x^2+10x+C