What is the integral from pi/4 to pi/3 of sec^2(x) ?

The integral from pi/4 to pi/3 of sec^2(x) is sqrt(3)-1

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integral from pi/4 to pi/3 of sec^2(x)

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

3 - 1

Decimal Notation

0.73205 \dots

Solution steps

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

Use the common integral:

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

= [tan (x)]_{\frac{π}{4}}^{\frac{π}{3}}

Compute the boundaries:

3 - 1

= 3 - 1

\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

\int_{0}^{2 π} cos^{4} (θ) d θ

What is the integral from pi/4 to pi/3 of sec^2(x) ?
The integral from pi/4 to pi/3 of sec^2(x) is sqrt(3)-1