Evaluate (i) (ii) (iii) dx (iv)

Maths Definite Integral and Area Under Curves Properties of Definite Integration Subjective Type

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Evaluate

(i)

(ii)

(iii) dx

(iv)

Text Solution

Verified by Experts

The correct answer is:

(ii) (iii); (ii) = (iii)

(i) 0 (ii)

(iii) –  n 2 (iv) π  n2

Sol. (i) Ι = {as sin(sin(2 π – x)) = –sin(sinx)}= 0 {as sin(cosx) = –sin(cos( π – x))}

(ii) =

(iii) dx = – = –  n 2

(iv)Let x = tan θ ∴ Ι = = π  n2

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