Question

Evaluate fraction numerator d over denominator d x end fraction open parentheses integral subscript 3 superscript x s e c (t )space tan (t )space d t close parentheses sec(x)tan(x) sec(x)tan(x) + C sec(x) - sec(3) sec(x)

Answer 1

sec(x)tan(x)

Explanation:

This is a direct application of the fundamental theorem of calculus, which tells you ...

`\displaystyle(d)/(dx)\int^x_a {f(t)} \, dt=f(x)`

Here, f(t) = sec(t)tan(t) and a=3. So, the derivative is ...

f(x) = sec(x)tan(x)