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

Maths Definite Integral and Area Under Curves Fundamental Definite Integration, Definite Integration by Substitution 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:

CHECK THE SOLUTION.

(i) π (ii)

(iii) 4 +  n 5 (iv)

Sol. (i) Ι = = =

(ii) x = sec θ ⇒ dx = sec θ tan θ d θ ⇒ Ι = =

(iii) Ι = = =

= 4 +  n5

(iv) Let cos θ = t

– sin θ d θ = dt

Ι = – ; Ι = –

Ι = – = – ; Ι = +

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