JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

Let

I_1=\int_0^1 \frac{e^x}{1+x} d x

and

I_2=\int_0^1 \frac{x^2}{e^{x^3}\left(2-x^3\right)} d x

.
Then,

\frac{I_1}{I_2}

is equal to

View answer and explanation

Correct option: C

3 e

Option C (

3e

) is correct because after substitution and using properties of definite integrals, the ratio simplifies to

3e

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