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Popular Calculus >

integral from-3 to 4 of-x+1

Solution

\int_{- 3}^{4} - x + 1 d x

Solution

\frac{7}{2}

+1

Decimal

3.5

Solution steps

\int_{- 3}^{4} - x + 1 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_{- 3}^{4} x d x + \int_{- 3}^{4} 1 d x

\int_{- 3}^{4} x d x = \frac{7}{2}

\int_{- 3}^{4} 1 d x = 7

= - \frac{7}{2} + 7

Simplify

- \frac{7}{2} + 7 : \frac{7}{2}

= \frac{7}{2}

Graph

Popular Examples

integral from y to 1 of 1/y

\int_{y}^{1} \frac{1}{y} d y

integral from 0 to 1 of 1/(9x^2+6x+1)

\int_{0}^{1} \frac{1}{9 x ^{2} + 6 x + 1} d x

integral from 1 to 6 of 5+sqrt(x)

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

integral from 0 to x of t^4

\int_{0}^{x} t^{4} d t

integral from 0 to 5 of 2000x+1000

\int_{0}^{5} 2000 x + 1000 d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 4 of-x+1 ?
The integral from-3 to 4 of-x+1 is 7/2