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Popular >

integral of x^2-7

Solution

\int x^{2} - 7 d x

Solution

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

Solution steps

\int x^{2} - 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 7 d x

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

\int 7 d x = 7 x

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

Add a constant to the solution

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

Popular Examples

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\int_{1}^{4} (1 - x) (x - 4) d x

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\frac{d}{d x} (\frac{x}{( 1 - x ) ^{3}})

y^{''}-2y^'+y=(e^t)/((1+t^2))

y^{^{''}} - 2 y^{^{'}} + y = \frac{e ^{t}}{( 1 + t ^{2} )}

integral of 1/x e^{-x}

\int \frac{1}{x} e^{- x} d x

sum from n=0 to infinity of cos(5npi)

n = 0 \sum \infty cos (5 nπ)

Frequently Asked Questions (FAQ)

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