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Popular >

integral of (x^5-3x)

Solution

\int (x^{5} - 3 x) d x

Solution

\frac{x ^{6}}{6} - \frac{3 x ^{2}}{2} + C

Solution steps

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

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

\int 3 x d x = \frac{3 x ^{2}}{2}

= \frac{x ^{6}}{6} - \frac{3 x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{6}}{6} - \frac{3 x ^{2}}{2} + C

Graph

Popular Examples

integral of 3ab^2x^4

\int 3 a b^{2} x^{4} d x

integral of 3cos^2(θ)

\int 3 cos^{2} (θ) d θ

integral of 4cos(1-x)

\int 4 cos (1 - x) d x

integral of x/(\sqrt[3]{x+3)}

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

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

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

Frequently Asked Questions (FAQ)

What is the integral of (x^5-3x) ?
The integral of (x^5-3x) is (x^6)/6-(3x^2)/2+C