Question

Evaluate \[\int \sec^2 x\,dx\]

Options

• \[\cos x+\mathrm{C}\]

• \[-\cot x+\mathrm{C}\]

• \[\tan x+\mathrm{C}\]

• \[\sec x+\mathrm{C}\]

Answer 1

The derivative of \(\tan x\) is \(\sec^2 x\). Thus, the antiderivative is \(\tan x+\mathrm{C}\).