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Popular >

integral of (x^5+7)

Solution

\int (x^{5} + 7) d x

Solution

\frac{x ^{6}}{6} + 7 x + C

Solution steps

\int x^{5} + 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 x^{5} d x + \int 7 d x

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

\int 7 d x = 7 x

= \frac{x ^{6}}{6} + 7 x

Add a constant to the solution

= \frac{x ^{6}}{6} + 7 x + C

Popular Examples

integral of 6/(xsqrt(49+x^2))

\int \frac{6}{x 49 + x ^{2}} d x

integral of-2^{-5x}

\int - 2^{- 5 x} d x

integral of (x^3+4)/((x^2-1)(x^2+3x+2))

\int \frac{x ^{3} + 4}{( x ^{2} - 1 ) ( x ^{2} + 3 x + 2 )} d x

integral of (x+e^x)/(xe^x)

\int \frac{x + e ^{x}}{x e ^{x}} d x

integral of (3x)/((x-2)^2)

\int \frac{3 x}{( x - 2 ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of (x^5+7) ?
The integral of (x^5+7) is (x^6)/6+7x+C