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

\int_{\frac{π}{4}}^{\frac{π}{3}} sec^{2} (x) d x

\int_{- 3}^{1} (2 x - 3) d x

\int_{0}^{1} \frac{x ^{2}}{3 + x ^{3}} d x

\int_{x^{2}}^{4} 3 t d t

\int_{0}^{1} x + x d x

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)