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Popular >

integral of x^2-6x+5

Solution

\int x^{2} - 6 x + 5 d x

Solution

\frac{x ^{3}}{3} - 3 x^{2} + 5 x + C

Solution steps

\int x^{2} - 6 x + 5 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^{2} d x - \int 6 x d x + \int 5 d x

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

\int 6 x d x = 3 x^{2}

\int 5 d x = 5 x

= \frac{x ^{3}}{3} - 3 x^{2} + 5 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 3 x^{2} + 5 x + C

Popular Examples

(\partial)/(\partial x)(sqrt(2x^2+5y^2))

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2})

tangent of y=2x^3-2x(-1)tangent of

y = 2 x^{3} - 2 x (- 1)

derivative of 2cos(-2x)

\frac{d}{d x} (2 cos (- 2 x))

integral of (34x^2)/((2x+1)(x^2+4))

\int \frac{34 x ^{2}}{( 2 x + 1 ) ( x ^{2} + 4 )} d x

y^{^{'}} = - 3 x y^{3}

Frequently Asked Questions (FAQ)

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