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Popular >

integral of u-1

Solution

\int u - 1 d u

Solution

\frac{u ^{2}}{2} - u + C

Solution steps

\int u - 1 d u

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int u d u - \int 1 d u

\int u d u = \frac{u ^{2}}{2}

\int 1 d u = u

= \frac{u ^{2}}{2} - u

Add a constant to the solution

= \frac{u ^{2}}{2} - u + C

Popular Examples

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\frac{\partial}{\partial y} (tan (1 + 2 x^{2} y^{3} z^{2}))

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derivative of [x+(x+sin^2(x))^3]^5 derivative of

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derivative of (ln(x+1)/(4x+2))

\frac{d}{d x} (\frac{ln ( x + 1 )}{4 x + 2})

Frequently Asked Questions (FAQ)

What is the integral of u-1 ?
The integral of u-1 is (u^2)/2-u+C