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Use limits of definite integrals to calculate each of the improper integrals in Exercises 21–56.

0π/2secxdx

Short Answer

Expert verified

The answer is(Diverges).

Step by step solution

01

Step 1. Given information.

The given integral is0π/2secxdx.

02

Step 2. Value of the integral.

We know,

secx=secxtanx

On simplifying,

0π2sec(x)dx=[ln|secx+tanx|]0π2=lnsecπ2+tanπ2-lnsecπ2+tanπ2=(Diverges)

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