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Popular >

integral of (1-t)

Solution

\int (1 - t) d t

Solution

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

Solution steps

\int 1 - t d t

Apply the Sum Rule:

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

= \int 1 d t - \int t d t

\int 1 d t = t

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 0+of Inx

x \to 0 + lim (I n x)

integral of-1/(x-1)

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

integral from 3 to x^3 of t^3

\int_{3}^{x^{3}} t^{3} d t

derivative of 1/(sqrt(x))derivative of

\frac{1}{x}

derivative of 1/3 sqrt(x)(x-3)derivative of

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

Frequently Asked Questions (FAQ)

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