What is the integration of $\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$ ~~~~~[NCERT Exemp. Q. 5,Page 164 ]By admin / April 18, 2021 What is the integration of $\int {\frac{{(1 + \cos x)}}{{x + \sin x}}} dx$ ~~~~~[NCERT Exemp. Q. 5,Page 164 ] Consider that, $I = \int {\frac{{(1 + \cos x)}}{{(x + \sin x)}}} dx$Let $x + \sin x = t \Rightarrow (1 + \cos x)dx = dt$ therefore,$I = \int_t^1 d t = \log |t| + C$ $ = \log |(x + \sin x)| + C$ Buy Best Mathematics E-Books Visit : https://mathstudy.in/ Buy Mathematics Formula Book for Class XI,XII,JEE and other Engineering Competition Exam https://mathstudy.in/product/mathematics-formula-book/ Buy Mathematics Workbook for Class XII ( Fully Solved ) : https://mathstudy.in/product/work-book-class-xii-c-b-s-e-fully-solved/ Buy Mathematics Chapter Tests for Class XII ( Fully Solved) : https://mathstudy.in/product/mathematics-chapter-tests-class-xii-c-b-s-e/ Buy Objective Type Question Bank Class XII (Fully Solved ) : https://mathstudy.in/product/objective-type-question-bank-for-mathematics-class-xii-c-b-s-e/