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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

Graph

Popular Examples

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

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

integral of 3^{5x+11}

\int 3^{5 x + 11} d x

integral of (2x^4)/(sqrt(1-6x^5))

\int \frac{2 x ^{4}}{1 - 6 x ^{5}} d x

integral of u/(sqrt(2u-1))

\int \frac{u}{2 u - 1} d u

integral of sec^2(x)-csc^2(x)

\int sec^{2} (x) - csc^{2} (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