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Popular Calculus >

integral of (4x+4)

Solution

\int (4 x + 4) d x

Solution

2 x^{2} + 4 x + C

Solution steps

\int 4 x + 4 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 4 d x

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

\int 4 d x = 4 x

= 2 x^{2} + 4 x

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(1+x)+1/(1-x)

\int \frac{1}{1 + x} + \frac{1}{1 - x} d x

integral of 2^{9-x}-64

\int 2^{9 - x} - 64 d x

integral of (1/x+2e^{2x})

\int (\frac{1}{x} + 2 e^{2 x}) d x

integral of-2x^3ln(2x)

\int - 2 x^{3} ln (2 x) d x

integral of (18x^7)/(9x^8+9)

\int \frac{18 x ^{7}}{9 x ^{8} + 9} d x

Frequently Asked Questions (FAQ)

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