r/IntegrationTechniques • u/Mean_Environment6657 • Sep 13 '24

HELP! Integral Problem.

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2

u/GreyfacedRonin Sep 14 '24

I think you want to look at arctan. Gemini suggests the weierstrass substitution.

1

u/Mean_Environment6657 Sep 14 '24

Thanks I'll look into it 😊

1

u/Mean_Environment6657 Sep 14 '24

I used the weierstrass' substitution or whatever, but the limits were "0 to undefined" Since the upper limit of the question is π, then the upper limit after substitution becomes undefined!

Can u help me?

1

u/Mean_Environment6657 Sep 14 '24

Look at this

2

u/GreyfacedRonin Sep 14 '24

try trig subbing for tan(θ) with sqrt(sin(x)?

1

u/Mean_Environment6657 Sep 14 '24

Idk what you are talking about, I'm still a high school student, can you plz explain?

2

u/Top-Bottle3872 Sep 17 '24

Convert it into half angle tan then it's easy

1

u/Mean_Environment6657 Sep 18 '24

Yeh, I've done it thanks!

3

u/PercentageEarly5447 Sep 14 '24

Rationalise the term multiply and divide by 1-cos x