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Maths Definite Integral and Area Under Curves General Subjective Type

Published on: August 12, 2026

Prove that: log 2 < dx <

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The correct answer is:

CHECK THE SOLUTION.

Sol. For all x ∈ [0, 1], we have

1–x 2 < 1 + x 6 < (1 + x) 2 ⇒ < <

⇒ < <

⇒ dx < dx < dx

⇒ [log (1+ x) < dx < [sin

–1 x

⇒ log 2 < dx < sin –1 1

⇒ log 2 < dx <

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