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

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

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

\int_{0}^{\frac{π}{3}} sec (x) d x

ln (2 + 3)

Decimal Notation

1.31695 \dots

Solution steps

\int_{0}^{\frac{π}{3}} sec (x) d x

Use the common integral:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= [ln ∣ tan (x) + sec (x) ∣]_{0}^{\frac{π}{3}}

Compute the boundaries:

ln (2 + 3)

= ln (2 + 3)

\int \frac{x}{5 x + 1} d x

2 x + 7

(2 x y^{2} - 5) d x + (2 x^{2} y + 4) d y = 0

x \to 1 lim (x^{4} - 1)

g (x) = 3 - x

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