What is area f(x)=3sec(x),-pi/6 <= x<= pi/6 ?

The answer to area f(x)=3sec(x),-pi/6 <= x<= pi/6 is 3ln(3)

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area f(x)=3sec(x),-pi/6 <= x<= pi/6

area

f (x) = 3 sec (x), - \frac{π}{6} \leq x \leq \frac{π}{6}

3 ln (3)

Decimal Notation

3.29583 \dots

Solution steps

Apply the area formula:

\int_{- \frac{π}{6}}^{\frac{π}{6}} 3 ∣ sec (x) ∣ d x

Solve

\int_{- \frac{π}{6}}^{\frac{π}{6}} 3 ∣ sec (x) ∣ d x : 3 ln (3)

The area is:

= 3 ln (3)

\frac{d y}{d x} = \frac{( x - 3 )}{y + 1}

\frac{\partial}{\partial y} (x e^{\frac{y}{z}})

\frac{d}{d x} (\frac{3}{2 - x})

\int sec^{2} (3 x + 5) d x

x \to 0 lim (2 + 3 e^{- \frac{3}{x}})

What is area f(x)=3sec(x),-pi/6 <= x<= pi/6 ?
The answer to area f(x)=3sec(x),-pi/6 <= x<= pi/6 is 3ln(3)