The integration is 
Further explanation:
Given:
The integral is 
Explanation:
The given integral is 
Plug 
Differentiate
with respect to y.

The integral can be expressed as,

Further solve the above equation,

Substitute
for 

The integral can be written as follows,

Substitute
for t.

The secant ratio of the angle is given by 
The integral can be expressed as follows,

The integration is 
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Answer details:
Grade: College
Subject: Mathematics
Chapter: Integrals
Keywords: function, decreasing, increasing, monotonic, integral, monotone, data is not monotone, table, sketch, possible, graph, integration, area under the curve.