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

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

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

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

tan (x) - 3

Solution steps

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

Use the common integral:

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

= [tan (t)]_{\frac{π}{3}}^{x}

Compute the boundaries:

tan (x) - 3

= tan (x) - 3

\int_{0}^{\infty} x^{6} e^{- x} d x

\int_{0}^{\infty} cos (π) x d x

\int_{0}^{\frac{π}{4}} sin^{2} (θ) d θ

\int_{0}^{\infty} λ e^{- λ x} d x

\int_{0}^{1} (x^{3} + 3 x + 4) d x

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