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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

If I_1 = ∫_0^1 (1 + x^8)/(1 + x^4) dx and I_2 = ∫_0^1 (1 + x^9)/(1...

If

I_1 = \int_0^1 \frac{1 + x^8}{1 + x^4} dx

and

I_2 = \int_0^1 \frac{1 + x^9}{1 + x^3} dx

, then :

Options

A $I_1 > 1, I_2 < 1$
B $I_1 < 1, I_2 > 1$
C $1 < I_1 < I_2$
D $I_2 < I_1 < 1$

Correct answer

D. $I_2 < I_1 < 1$

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