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Popular >

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

Solution

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

Solution

\frac{7}{3}

+1

Decimal Notation

2.33333 \dots

Solution steps

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

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

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

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

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

Simplify

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

= \frac{7}{3}

Popular Examples

integral from 0 to pi/2 of 1/(1+cos(x))

\int_{0}^{\frac{π}{2}} \frac{1}{1 + cos ( x )} d x

integral from-1 to 2 of 3x

\int_{- 1}^{2} 3 x d x

integral from 0 to 2 of (x^2)/4

\int_{0}^{2} \frac{x ^{2}}{4} d x

integral from 0 to 4 of x^3-6x^2+8x

\int_{0}^{4} x^{3} - 6 x^{2} + 8 x d x

integral from 0 to 1 of (x+1)/(4+x^2)

\int_{0}^{1} \frac{x + 1}{4 + x ^{2}} d x

Frequently Asked Questions (FAQ)

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