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Popular >

integral of 5x+4

Solution

\int 5 x + 4 d x

Solution

\frac{5 x ^{2}}{2} + 4 x + C

Solution steps

\int 5 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 5 x d x + \int 4 d x

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

\int 4 d x = 4 x

= \frac{5 x ^{2}}{2} + 4 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + 4 x + C

Popular Examples

integral of ((x-2))/((x+1)^2+4)

\int \frac{( x - 2 )}{( x + 1 ) ^{2} + 4} d x

integral of 1-e^{2x}

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

integral of 12sec^2(x)tan^3(x)

\int 12 sec^{2} (x) tan^{3} (x) d x

integral of (10000x)/(x^2+e)

\int \frac{10000 x}{x ^{2} + e} d x

integral of x^2(2x+1)^9

\int x^{2} (2 x + 1)^{9} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x+4 ?
The integral of 5x+4 is (5x^2)/2+4x+C