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Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

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

\int_{2}^{4} t^{2} d t = \frac{56}{3}

\int_{2}^{4} 2 t d t = 12

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

= \frac{56}{3} - 12 - 6

Simplify

\frac{56}{3} - 12 - 6 : \frac{2}{3}

= \frac{2}{3}

Graph

Popular Examples

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

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\int_{\frac{π}{6}}^{\frac{π}{2}} cos^{2} (x) d x

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\int_{0}^{x} \frac{t}{t ^{2} + 1} d t

integral from 0 to pi/3 of sec(x)tan(x)

\int_{0}^{\frac{π}{3}} sec (x) tan (x) d x

integral from 0 to sqrt(3 of)xarctan(x)

\int_{0}^{3} x arctan (x) d x

Frequently Asked Questions (FAQ)

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