JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

For

f(x)=x^4+|x|

, let

I_1=\int_0^\pi f(\cos x) d x

and

I_2=\int_0^{\pi / 2} f(\sin x) d x

, then

\frac{I_1}{I_2}

has the value equal to

View answer and explanation

Correct option: C

Option C (2) is correct because the integral

I_1

can be simplified using the property of even functions and then related to

I_2

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