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

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)

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Allison 3 weeks 2022-01-03T13:22:39+00:00 1 Answer 0 views 0

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    2022-01-03T13:24:24+00:00

    Answer:

      sec(x)tan(x)

    Step-by-step explanation:

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

      \displaystyle\frac{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)

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