(i)Find the value of a such that =  n . (ii)Find the val…

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 13, 2026

(i)Find the value of a such that =  n .

(ii)Find the value of l dx

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(i) Ι = Let e x = t ⇒ e x dx = dt

so , Ι =

Hence Ι = ⇒ ⇒ e a = 11

a =  n 11

(ii)Let x 3 = t ⇒ 3x 2 dx = dt

Ι = sin t dt = 0

Now apply by parts for solution

I = + =

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