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Popular >

integral from 1 to 4 of (2x+3)

Solution

\int_{1}^{4} (2 x + 3) d x

Solution

24

Solution steps

\int_{1}^{4} 2 x + 3 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}^{4} 2 x d x + \int_{1}^{4} 3 d x

\int_{1}^{4} 2 x d x = 15

\int_{1}^{4} 3 d x = 9

= 15 + 9

Simplify

= 24

Popular Examples

integral from-1 to 0 of sqrt(1-x^2)

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

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

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

integral from 0 to 3 of (x^2)/9

\int_{0}^{3} \frac{x ^{2}}{9} d x

integral from-pi to 0 of-1

\int_{- π}^{0} - 1 d x

integral from-8 to 0 of sqrt(64-x^2)

\int_{- 8}^{0} 64 - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of (2x+3) ?
The integral from 1 to 4 of (2x+3) is 24