What is the integral from 0 to pi/3 of (10sec^2(x)) ?

The integral from 0 to pi/3 of (10sec^2(x)) is 10sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to pi/3 of (10sec^2(x))

\int_{0}^{\frac{π}{3}} (10 sec^{2} (x)) d x

103

Decimal

17.32050 \dots

Solution steps

\int_{0}^{\frac{π}{3}} 10 sec^{2} (x) d x

Take the constant out:

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

= 10 \cdot \int_{0}^{\frac{π}{3}} sec^{2} (x) d x

Use the common integral:

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

= 10 [tan (x)]_{0}^{\frac{π}{3}}

Compute the boundaries:

3

= 103

What is the integral from 0 to pi/3 of (10sec^2(x)) ?
The integral from 0 to pi/3 of (10sec^2(x)) is 10sqrt(3)