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Popular >

integral of (10x+6)

Solution

\int (10 x + 6) d x

Solution

5 x^{2} + 6 x + C

Solution steps

\int 10 x + 6 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 10 x d x + \int 6 d x

\int 10 x d x = 5 x^{2}

\int 6 d x = 6 x

= 5 x^{2} + 6 x

Add a constant to the solution

= 5 x^{2} + 6 x + C

Popular Examples

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

integral of (5ln(x))/(x^3)

\int \frac{5 ln ( x )}{x ^{3}} d x

y^{''}-2y^'-15y=3cos(2x)+4x^2

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 cos (2 x) + 4 x^{2}

derivative of cot^2(cos(x))derivative of

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(dy)/(dx)=sin(x+y)+cos(x+y)

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Frequently Asked Questions (FAQ)

What is the integral of (10x+6) ?
The integral of (10x+6) is 5x^2+6x+C