CBSE Class 12 Sample Paper for 2020 Boards

CBSE Class 12 Sample Paper for 2019 Boards →
Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Question 18 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Find ∫ (3 + 3 cos⁡x)/(x + sin⁡x ) dx

Find integral (3 + 3 cos⁡ x)/(x + sin⁡ x) dx - Teachoo - CBSE Class 12

Question 18 (OR 1st Question) - CBSE Class 12 Sample Paper for 2020 Boards - Part 2

Go Ad-free

Transcript

Question 18 (OR 1st Question) Find ∫1 (3 + 3 cos⁡𝑥)/(𝑥 + sin⁡𝑥 ) dx ∫1 (3 + 3 cos⁡𝑥)/(𝑥 + sin⁡𝑥 ) dx = ∫1 (3(1 + cos⁡𝑥))/(𝑥 + sin⁡𝑥 ) dx Let t = x + sin x dt = (1 + cos x) dx Putting t and dt in equation = ∫1 3/𝑡 dt = 3 × ∫1▒1/𝑡 dt = 3 × log⁡〖|𝑡|〗 + C Putting back t = (x + sin x) = 3 × 𝒍𝒐𝒈⁡〖|(𝒙+𝐬𝐢𝐧⁡𝒙)|〗 + C

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo