Pi and area of an ellipse.

[SooryakiraN]

Hello Everyone,

I decided to find the area of an ellipse by integrating tiny vertical strips and arrived here -

Area=4b (£(1-(x/a)^2)^(1/2).dx)

I am new to the forums

I do not know to insert symbols.

£=Integration symbol

The lower and upper limits are 0 and a

a and b are the length of the semi major and the semi minor axis.

Also I learned that Area = Pi .ab

I am new to Calculus and do not know to proceed from the equation I have reached.
Can anybody please equate both the area eq and find an expansion for Pi .

Please recheck whether my first eq is correct as I am very good at making mistakes.

Regards
Sooryakiran

 

[Ishuda]

Hello Everyone,

I decided to find the area of an ellipse by integrating tiny vertical strips and arrived here -

Area=4b (£(1-(x/a)^2)^(1/2).dx)

I am new to the forums

I do not know to insert symbols.

£=Integration symbol

The lower and upper limits are 0 and a

a and b are the length of the semi major and the semi minor axis.

Also I learned that Area = Pi .ab

I am new to Calculus and do not know to proceed from the equation I have reached.
Can anybody please equate both the area eq and find an expansion for Pi .

Please recheck whether my first eq is correct as I am very good at making mistakes.

Regards
Sooryakiran

If you have learned 'u substitutions', let x = a sin(u) so that (x/a)=sin(u). Then use a couple of trig identities.