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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

taylor cos(2x),pi taylor

cos (2 x), π

f (x) = ln (x^{2} + 3)

integral of 7sin^3(xco)s^5x

\int 7 sin^{3} (x co) s^{5} x d x

y^'+8y=t+e^{-3t}

y^{^{'}} + 8 y = t + e^{- 3 t}

integral of (8x^7+x^5)sqrt(6x^8+x^6)

\int (8 x^{7} + x^{5}) 6 x^{8} + x^{6} d x

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