Question #23e44

1 Answer
bp
May 6, 2017

It is explained below

Explanation:

When substitution is done for x, the differential 'x' is converted to the substituted variable. Like when a substitution say, x= tan thetax=tanθ is used , dx would then convert to sec^2 theta d thetasec2θdθ. Thus after sustitution there is no dx in the integrand as all 'x' get converted to thetaθ. It can be looked upon as follows also

x= tan thetaθ then dx/(d theta) = sec^2 thetadxdθ=sec2θ

Or, dx= sec^2 theta d thetadx=sec2θdθ

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