Home Maths Definite Integral and Area Under Curves Fundamental Definite Integration, Definite Integration by Substitution Evaluate : (i) (ii) dx (iii) .
Maths Definite Integral and Area Under Curves Fundamental Definite Integration, Definite Integration by Substitution Subjective Type
Published on: August 12, 2026

Evaluate :

(i)

(ii) dx

(iii) .

Share this question

WhatsApp

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(i) (ii)  n (iii) –

Sol. (i) Ι = Ι = =

(ii) Ι =

By parts log x → Ι

On solving ⇒ Ι =

(iii) Ι = ⇒ Ι = = Ι 1 –

Ι 2 Let 1 – x 2 = t 2 ⇒ – 2x dx = 2t dx

⇒ x dx = – t dt ⇒ Ι 2 = = & Ι 1 = ⇒ Ι = –

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems
CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.