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Popular >

integral from 0 to 3 of (5x+3)

Solution

\int_{0}^{3} (5 x + 3) d x

Solution

\frac{63}{2}

+1

Decimal Notation

31.5

Solution steps

\int_{0}^{3} 5 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_{0}^{3} 5 x d x + \int_{0}^{3} 3 d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 3 d x = 9

= \frac{45}{2} + 9

Simplify

\frac{45}{2} + 9 : \frac{63}{2}

= \frac{63}{2}

Popular Examples

integral from-3 to 1 of 6x^2-5x+2

\int_{- 3}^{1} 6 x^{2} - 5 x + 2 d x

integral from 2 to 3 of g(x)

\int_{2}^{3} g (x) d x

integral from 0 to 0.4 of sqrt(1+x^4)

\int_{0}^{0.4} 1 + x^{4} d x

integral from 1 to 5 of (3x^{-1}+x^{-3})

\int_{1}^{5} (3 x^{- 1} + x^{- 3}) d x

integral from-2 to 2 of (8-x^2)-(x^2)

\int_{- 2}^{2} (8 - x^{2}) - (x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of (5x+3) ?
The integral from 0 to 3 of (5x+3) is 63/2