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Question Number 8817 by sÁê< last updated on 30/Oct/16

If I_1 =∫_( 0) ^(3π)  f (cos^2 x)dx and  I_2 =∫_( 0) ^π  f (cos^2 x)dx  then

$$\mathrm{If}\:{I}_{\mathrm{1}} =\underset{\:\mathrm{0}} {\overset{\mathrm{3}\pi} {\int}}\:{f}\:\left(\mathrm{cos}^{\mathrm{2}} {x}\right){dx}\:\mathrm{and}\:\:{I}_{\mathrm{2}} =\underset{\:\mathrm{0}} {\overset{\pi} {\int}}\:{f}\:\left(\mathrm{cos}^{\mathrm{2}} {x}\right){dx} \\ $$$$\mathrm{then} \\ $$

Commented by ridwan balatif last updated on 30/Oct/16

then what?

$$\mathrm{then}\:\mathrm{what}? \\ $$

Commented by prakash jain last updated on 30/Oct/16

I_1 =3I_2 ?

$${I}_{\mathrm{1}} =\mathrm{3}{I}_{\mathrm{2}} ? \\ $$

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