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Popular >

integral of (16x+3)

Solution

\int (16 x + 3) d x

Solution

8 x^{2} + 3 x + C

Solution steps

\int 16 x + 3 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 16 x d x + \int 3 d x

\int 16 x d x = 8 x^{2}

\int 3 d x = 3 x

= 8 x^{2} + 3 x

Add a constant to the solution

= 8 x^{2} + 3 x + C

Popular Examples

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\int \frac{1}{x 9 - x ^{2}} d x

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\frac{d}{d x} (\frac{1}{3} e^{3 x})

derivative of sqrt(2cos(x))

\frac{d}{d x} (2 cos (x))

integral of 6/(sqrt(10x-x^2))

\int \frac{6}{10 x - x ^{2}} d x

derivative of x^2+(128/x)

\frac{d}{d x} (x^{2} + \frac{128}{x})

Frequently Asked Questions (FAQ)

What is the integral of (16x+3) ?
The integral of (16x+3) is 8x^2+3x+C