What is area (sqrt(x+6)),x,-2,3 ?

The answer to area (sqrt(x+6)),x,-2,3 is 61/6

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area (sqrt(x+6)),x,-2,3

area

(x + 6), x, - 2, 3

\frac{61}{6}

Decimal

10.16666 \dots

Solution steps

Apply the area formula:

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

Solve

\int_{- 2}^{3} x + 6 - x d x : \frac{61}{6}

The area is:

= \frac{61}{6}

\int sec^{6} (x) tan (x) d x

d er i v a t i v e y = ln (7 x)

\frac{d}{d x} (e^{x^{3} + 3 x})

x \to 2 lim (\frac{∣ x - 2 ∣}{2})

s l o p e 10 (1.05)^{x}