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Popular >

integral from 3 to 4 of t^2-2t-3

Solution

\int_{3}^{4} t^{2} - 2 t - 3 d t

Solution

\frac{7}{3}

+1

Solution steps

\int_{3}^{4} t^{2} - 2 t - 3 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_{3}^{4} t^{2} d t - \int_{3}^{4} 2 t d t - \int_{3}^{4} 3 d t

\int_{3}^{4} t^{2} d t = \frac{37}{3}

\int_{3}^{4} 2 t d t = 7

\int_{3}^{4} 3 d t = 3

= \frac{37}{3} - 7 - 3

Simplify

\frac{37}{3} - 7 - 3 : \frac{7}{3}

= \frac{7}{3}

Popular Examples

integral from 0 to 1 of 3^x

\int_{0}^{1} 3^{x} d x

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

\int_{- π}^{0} - sin (x) d x

integral from 1 to 2 of 1/2

\int_{1}^{2} \frac{1}{2} d x

integral from 0 to 2 of-x^2-3x

\int_{0}^{2} - x^{2} - 3 x d x

integral from 0 to 4 of y^2

\int_{0}^{4} y^{2} d y

Frequently Asked Questions (FAQ)

What is the integral from 3 to 4 of t^2-2t-3 ?
The integral from 3 to 4 of t^2-2t-3 is 7/3