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Popular >

integral of (1-x^9)

Solution

\int (1 - x^{9}) d x

Solution

x - \frac{x ^{10}}{10} + C

Solution steps

\int 1 - x^{9} 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 1 d x - \int x^{9} d x

\int 1 d x = x

\int x^{9} d x = \frac{x ^{10}}{10}

= x - \frac{x ^{10}}{10}

Add a constant to the solution

= x - \frac{x ^{10}}{10} + C

Graph

Popular Examples

integral of 1/(-x^2-10x-21)

\int \frac{1}{- x ^{2} - 10 x - 21} d x

derivative of (x+4)(x-5)^2 derivative of

(x + 4) (x - 5)^{2}

inverse oflaplace (s+1)/((s+2)(s+6)^2)inverse laplace

\frac{s + 1}{( s + 2 ) ( s + 6 ) ^{2}}

tangent of f(x)=x^3-2x+7,\at x=-2 tangent of

f (x) = x^{3} - 2 x + 7, at x = - 2

derivative of x^4-2x^2+5 derivative of

x^{4} - 2 x^{2} + 5

Frequently Asked Questions (FAQ)

What is the integral of (1-x^9) ?
The integral of (1-x^9) is x-(x^{10})/(10)+C