What is the integral from 0 to pi/3 of 3sec^2(x) ?

The integral from 0 to pi/3 of 3sec^2(x) is 3sqrt(3)

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integral from 0 to pi/3 of 3sec^2(x)

\int_{0}^{\frac{π}{3}} 3 sec^{2} (x) d x

33

Decimal Notation

5.19615 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 3 sec^{2} (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{0}^{\frac{π}{3}} sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 3 [tan (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

3

= 33

4 x + y^{2} = 9, x = 2 y

\frac{\partial}{\partial y} (e^{x} cos (y) + yz)

30 x - 3 x

\frac{d}{d x} (e^{- (x^{2} + y^{2})})

y sin (8 x) = x cos (2 y), (\frac{π}{2}, \frac{π}{4})

What is the integral from 0 to pi/3 of 3sec^2(x) ?
The integral from 0 to pi/3 of 3sec^2(x) is 3sqrt(3)