Pretoto4o

2021-12-05

Evaluate each integral.

${\int}_{0}^{4}\frac{{\mathrm{sec}h}^{2}\sqrt{x}}{\sqrt{x}}dx$

Opeance1951

Beginner2021-12-06Added 26 answers

Step 1

We have to find definite integral:

This will be solved by substitution method or change of variable.

Assuming

Limit will change as following,

Differentiating with respect to x the assumed value, we get

Step 2

Substituting above value in the definite integral, we get

Hence, value of definite integral is

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