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Popular >

integral of x^5+3

Solution

\int x^{5} + 3 d x

Solution

\frac{x ^{6}}{6} + 3 x + C

Solution steps

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

\int x^{5} d x = \frac{x ^{6}}{6}

\int 3 d x = 3 x

= \frac{x ^{6}}{6} + 3 x

Add a constant to the solution

= \frac{x ^{6}}{6} + 3 x + C

Popular Examples

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

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

integral of (x+1)/(sqrt(2x-2))

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

integral of (7^x)/(1+7^{2x)}

\int \frac{7 ^{x}}{1 + 7 ^{2 x}} d x

integral of (11)/(x^{10)}

\int \frac{11}{x ^{10}} d x

integral of (sqrt(x^2+y^2))

\int (x^{2} + y^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of x^5+3 ?
The integral of x^5+3 is (x^6)/6+3x+C