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Popular >

integral from 3 to 4 of t^2-t-6

Solution

\int_{3}^{4} t^{2} - t - 6 d t

Solution

\frac{17}{6}

+1

Decimal

2.83333 \dots

Solution steps

\int_{3}^{4} t^{2} - t - 6 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} t d t - \int_{3}^{4} 6 d t

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

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

\int_{3}^{4} 6 d t = 6

= \frac{37}{3} - \frac{7}{2} - 6

Simplify

\frac{37}{3} - \frac{7}{2} - 6 : \frac{17}{6}

= \frac{17}{6}

Graph

Popular Examples

integral from 0 to 5 of 10-2x

\int_{0}^{5} 10 - 2 x d x

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

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

integral from-pi/2 to pi/2 of (9sin(x))

\int_{- \frac{π}{2}}^{\frac{π}{2}} (9 sin (x)) d x

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

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

integral from 1 to y of 1/y

\int_{1}^{y} \frac{1}{y} d y

Frequently Asked Questions (FAQ)

What is the integral from 3 to 4 of t^2-t-6 ?
The integral from 3 to 4 of t^2-t-6 is 17/6