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Popular >

integral from 2 to 3 of (3t+2)

Solution

\int_{2}^{3} (3 t + 2) d t

Solution

\frac{19}{2}

+1

Decimal Notation

9.5

Solution steps

\int_{2}^{3} 3 t + 2 d t

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}^{3} 3 t d t + \int_{2}^{3} 2 d t

\int_{2}^{3} 3 t d t = \frac{15}{2}

\int_{2}^{3} 2 d t = 2

= \frac{15}{2} + 2

Simplify

\frac{15}{2} + 2 : \frac{19}{2}

= \frac{19}{2}

Popular Examples

integral from 0 to 1 of (3/8)x^2

\int_{0}^{1} (\frac{3}{8}) x^{2} d x

integral from pi to 0 of-sin^2(x)

\int_{π}^{0} - sin^{2} (x) d x

integral from 6 to 12 of y/(y^2-2y-3)

\int_{6}^{12} \frac{y}{y ^{2} - 2 y - 3} d y

integral from 0 to 1 of e^x(x+1)

\int_{0}^{1} e^{x} (x + 1) d x

integral from 1 to 3 of (3x^2)

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 3 of (3t+2) ?
The integral from 2 to 3 of (3t+2) is 19/2