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Popular >

integral of 1/2 x+4

Solution

\int \frac{1}{2} x + 4 d x

Solution

\frac{x ^{2}}{4} + 4 x + C

Solution steps

\int \frac{1}{2} 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 \frac{1}{2} x d x + \int 4 d x

\int \frac{1}{2} x d x = \frac{x ^{2}}{4}

\int 4 d x = 4 x

= \frac{x ^{2}}{4} + 4 x

Add a constant to the solution

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

Popular Examples

integral of (8-5x)^9

\int (8 - 5 x)^{9} d x

integral of x(5x^2-7)^{3/2}

\int x (5 x^{2} - 7)^{\frac{3}{2}} d x

integral of (x^2+8)^7x

\int (x^{2} + 8)^{7} x d x

integral of (arctan(1/x))/(x^4)

\int \frac{arctan ( \frac{1}{x} )}{x ^{4}} d x

integral of ln(x) 1/(x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 1/2 x+4 ?
The integral of 1/2 x+4 is (x^2)/4+4x+C