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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

integral of 21sin(x)sin(2x)

\int 21 sin (x) sin (2 x) d x

integral of (e^{7x}-e^{2x})/(e^{2x)}

\int \frac{e ^{7 x} - e ^{2 x}}{e ^{2 x}} d x

integral of 18sin(6x)

\int 18 sin (6 x) d x

integral of (1+y)y^{1/2}

\int (1 + y) y^{\frac{1}{2}} d y

integral of sin(2x)cos(8x)

\int sin (2 x) cos (8 x) d x

Frequently Asked Questions (FAQ)

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