What is the integral from 3 to 12 of x^3+sqrt(3x+7) ?

The integral from 3 to 12 of x^3+sqrt(3x+7) is 20655/4+(86sqrt(43)-128)/9

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integral from 3 to 12 of x^3+sqrt(3x+7)

\int_{3}^{12} x^{3} + 3 x + 7 d x

\frac{20655}{4} + \frac{86 43 - 128}{9}

Decimal Notation

5212.18774 \dots

Solution steps

\int_{3}^{12} x^{3} + 3 x + 7 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}^{12} x^{3} d x + \int_{3}^{12} 3 x + 7 d x

\int_{3}^{12} x^{3} d x = \frac{20655}{4}

\int_{3}^{12} 3 x + 7 d x = \frac{86 43 - 128}{9}

= \frac{20655}{4} + \frac{86 43 - 128}{9}

\int_{- 1}^{0} (2 w + 3)^{2} d w

\int_{- 1}^{3} 5 d x

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

\int_{0}^{1} - 2 t d t

\int_{0}^{0.4} x d x

What is the integral from 3 to 12 of x^3+sqrt(3x+7) ?
The integral from 3 to 12 of x^3+sqrt(3x+7) is 20655/4+(86sqrt(43)-128)/9