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Popular >

integral of x^5+1

Solution

\int x^{5} + 1 d x

Solution

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

Solution steps

\int x^{5} + 1 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 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Popular Examples

integral of e^{tan(3x)}sec^2(3x)

\int e^{t a n (3 x)} sec^{2} (3 x) d x

derivative of ({f}(x{g}(x))/x)

\frac{d}{d x} (\frac{f ( x ) g ( x )}{x})

- y^{^{''}} + y = 1

integral from 0 to ln(8) of xe^x

\int_{0}^{l n (8)} x e^{x} d x

area f(x)=-x^2+3,g(x)=2x+3 area

f (x) = - x^{2} + 3, g (x) = 2 x + 3

Frequently Asked Questions (FAQ)

What is the integral of x^5+1 ?
The integral of x^5+1 is (x^6)/6+x+C