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Popular >

integral from-1 to 2 of (1-x)

Solution

\int_{- 1}^{2} (1 - x) d x

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

\int_{- 1}^{2} 1 - x 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_{- 1}^{2} 1 d x - \int_{- 1}^{2} x d x

\int_{- 1}^{2} 1 d x = 3

\int_{- 1}^{2} x d x = \frac{3}{2}

= 3 - \frac{3}{2}

Simplify

3 - \frac{3}{2} : \frac{3}{2}

= \frac{3}{2}

Popular Examples

sum from n=1 to infinity of 1/(3^n)

n = 1 \sum \infty \frac{1}{3 ^{n}}

integral of tan(5θ)

\int tan (5 θ) d θ

integral of (3/2)^x

\int (\frac{3}{2})^{x} d x

derivative of 3x^7-7x^3+21x^2

\frac{d}{d x} (3 x^{7} - 7 x^{3} + 21 x^{2})

integral of 9sec^4(x)

\int 9 sec^{4} (x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of (1-x) ?
The integral from-1 to 2 of (1-x) is 3/2