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Popular >

integral of x^2-6x-7

Solution

\int x^{2} - 6 x - 7 d x

Solution

\frac{x ^{3}}{3} - 3 x^{2} - 7 x + C

Solution steps

\int x^{2} - 6 x - 7 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 7 d x

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

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

\int 7 d x = 7 x

= \frac{x ^{3}}{3} - 3 x^{2} - 7 x

Add a constant to the solution

= \frac{x ^{3}}{3} - 3 x^{2} - 7 x + C

Popular Examples

integral of x^2*2^{-x}

\int x^{2} \cdot 2^{- x} d x

integral of xe^{-2}

\int x e^{- 2} d x

derivative of f(x)=4+8x-5x^2 derivative of

f (x) = 4 + 8 x - 5 x^{2}

derivative of e^{e^{x^2}}derivative of

e^{e^{x^{2}}}

(x^3-y^3)dx+(xy^2)dy=0

(x^{3} - y^{3}) d x + (x y^{2}) d y = 0

Frequently Asked Questions (FAQ)

What is the integral of x^2-6x-7 ?
The integral of x^2-6x-7 is (x^3)/3-3x^2-7x+C