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Popular >

integral of 3x+3/5

Solution

\int 3 x + \frac{3}{5} d x

Solution

\frac{3 x ^{2}}{2} + \frac{3}{5} x + C

Solution steps

\int 3 x + \frac{3}{5} 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 3 x d x + \int \frac{3}{5} d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int \frac{3}{5} d x = \frac{3}{5} x

= \frac{3 x ^{2}}{2} + \frac{3}{5} x

Add a constant to the solution

= \frac{3 x ^{2}}{2} + \frac{3}{5} x + C

Popular Examples

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

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\int 12 sec (2 x) tan (2 x) d x

integral of ln^2(x^{20})

\int ln^{2} (x^{20}) d x

integral of csc(1-5x)

\int csc (1 - 5 x) d x

integral of (cos(3sqrt(x)))/(sqrt(x))

\int \frac{cos ( 3 x )}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of 3x+3/5 ?
The integral of 3x+3/5 is (3x^2)/2+3/5 x+C