What is the integral from 4 to 3 of x^2 ?

The integral from 4 to 3 of x^2 is -37/3

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integral from 4 to 3 of x^2

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

- \frac{37}{3}

Decimal

- 12.33333 \dots

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{3}^{4}

= - [\frac{x ^{3}}{3}]_{3}^{4}

Compute the boundaries:

\frac{37}{3}

= - \frac{37}{3}

\int_{0}^{π} (10 + x) d x

\int_{4}^{3 x + 4} \frac{t}{1 + t ^{3}} d t

\int_{0}^{π} e^{2 x} d x

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

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

What is the integral from 4 to 3 of x^2 ?
The integral from 4 to 3 of x^2 is -37/3