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Popular >

integral of 5x+5

Solution

\int 5 x + 5 d x

Solution

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

Solution steps

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

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

\int 5 d x = 5 x

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

Add a constant to the solution

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

Popular Examples

integral of ((arctan(x))^6)/(1+x^2)

\int \frac{( arctan ( x ) ) ^{6}}{1 + x ^{2}} d x

integral of (5x^3)/(x^2+9)

\int \frac{5 x ^{3}}{x ^{2} + 9} d x

integral of (2x)/(x^2+10)

\int \frac{2 x}{x ^{2} + 10} d x

integral of (x^2-3x+1)^{100}(2x-3)

\int (x^{2} - 3 x + 1)^{100} (2 x - 3) d x

integral of (x^2-5)/(x^2(x^2-9))

\int \frac{x ^{2} - 5}{x ^{2} ( x ^{2} - 9 )} d x

Frequently Asked Questions (FAQ)

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