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Popular >

integral from 0 to 1 of (1-t)

Solution

\int_{0}^{1} (1 - t) d t

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

\int_{0}^{1} 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_{0}^{1} 1 d t - \int_{0}^{1} t d t

\int_{0}^{1} 1 d t = 1

\int_{0}^{1} t d t = \frac{1}{2}

= 1 - \frac{1}{2}

Simplify

1 - \frac{1}{2} : \frac{1}{2}

= \frac{1}{2}

Graph

Popular Examples

integral from 0 to 1 of tsqrt(1-t^2)

\int_{0}^{1} t 1 - t^{2} d t

integral from-1 to 1 of (x^4-x^7)

\int_{- 1}^{1} (x^{4} - x^{7}) d x

integral from 1 to 5 of 6x^2+7x

\int_{1}^{5} 6 x^{2} + 7 x d x

integral from 1 to 3 of t^2-t+6

\int_{1}^{3} t^{2} - t + 6 d t

integral from 1 to 2 of pi(x^2+1)^2

\int_{1}^{2} π (x^{2} + 1)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (1-t) ?
The integral from 0 to 1 of (1-t) is 1/2