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Popular >

integral of (5x+3/7)

Solution

\int (5 x + \frac{3}{7}) d x

Solution

\frac{5 x ^{2}}{2} + \frac{3}{7} x + C

Solution steps

\int 5 x + \frac{3}{7} 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 \frac{3}{7} d x

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

\int \frac{3}{7} d x = \frac{3}{7} x

= \frac{5 x ^{2}}{2} + \frac{3}{7} x

Add a constant to the solution

= \frac{5 x ^{2}}{2} + \frac{3}{7} x + C

Graph

Popular Examples

integral of x^2(x^3+7)^6

\int x^{2} (x^{3} + 7)^{6} d x

integral of cos(ln(6x))

\int cos (ln (6 x)) d x

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

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

integral of 7xsqrt(x^2+9)

\int 7 x x^{2} + 9 d x

integral of sqrt(9/4 x+1)

\int \frac{9}{4} x + 1 d x

Frequently Asked Questions (FAQ)

What is the integral of (5x+3/7) ?
The integral of (5x+3/7) is (5x^2)/2+3/7 x+C