First slide

Methods of integration

Question

$I_{1} = \int_{0}^{4} [x - \frac{1}{2}] d x and I_{2} = \int_{0}^{π} \sqrt{\frac{1 + \cos 2 x}{2}} d x then ([.] denotes the G.I.F.)$

Moderate

A

$I_{1} = 6 I_{2}$
B

$I_{1} = 2 I_{2}$
C

$I_{2} = 2 I_{1}$
D

$I_{1} + I_{2} = 0$

Solution

$I_{1} = 4, I_{2} = 2 \Rightarrow I_{1} = 2 I_{2}$

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