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Popular >

integral from 2 to 6 of (x+1)

Solution

\int_{2}^{6} (x + 1) d x

Solution

20

Solution steps

\int_{2}^{6} 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_{2}^{6} x d x + \int_{2}^{6} 1 d x

\int_{2}^{6} x d x = 16

\int_{2}^{6} 1 d x = 4

= 16 + 4

Simplify

= 20

Graph

Popular Examples

integral from 1 to x of (t^2)

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

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\int_{0}^{4} x (4 - x) d x

integral from 0 to 20 of |x-10|

\int_{0}^{20} ∣ x - 10 ∣ d x

integral from x^3 to x^6 of (2t-1)^3

\int_{x^{3}}^{x^{6}} (2 t - 1)^{3} d t

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

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of (x+1) ?
The integral from 2 to 6 of (x+1) is 20