CBSE Class 12 Sample Paper for 2019 Boards

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Question 7 - CBSE Class 12 Sample Paper for 2019 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at August 10, 2026 by

Question 7

Find: ∫ (x 2  + sin 2 ⁡x) sec 2 ⁡x / (1 + x 2 ) dx

Find integral (x^2 + sin^2 x) sec^2 x / (1 + x^2) - Teachoo

Question 7 - CBSE Class 12 Sample Paper for 2019 Boards - Part 2

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Question 7 Find: āˆ«1ā–’((š‘„^2 + sin^2ā”š‘„ ) sec^2ā”š‘„)/(1 + š‘„^2 ) dx āˆ«1ā–’((š‘„^2 + sin^2ā”š‘„ ) sec^2ā”š‘„)/(1 + š‘„^2 ) dx = āˆ«1ā–’((š‘„^2 + sin^2ā”š‘„ )(1/cos^2ā”š‘„ ) )/(1 + š‘„^2 ) dx = āˆ«1ā–’((š‘„^2 + sin^2ā”š‘„ ) )/((1 + š‘„^2 ) cos^2ā”š‘„ ) dx Writing sin2 x = 1 ā€“ cos2 x = āˆ«1ā–’((š‘„^2 + 1 āˆ’ cos^2ā”š‘„ ) )/((1 + š‘„^2 ) cos^2ā”š‘„ ) dx = āˆ«1ā–’((1 + š‘„^2 ) āˆ’ cos^2ā”š‘„ )/((1 + š‘„^2 ) cos^2ā”š‘„ ) dx = āˆ«1ā–’((1 + š‘„^2 ) )/((1 + š‘„^2 ) cos^2ā”š‘„ ) dx ā€“ āˆ«1ā–’(cos^2ā”š‘„ )/((1 + š‘„^2 ) cos^2ā”š‘„ ) dx = āˆ«1ā–’1/cos^2ā”š‘„ dx ā€“ āˆ«1ā–’(1 )/((1 + š‘„^2 ) ) dx = āˆ«1ā–’怖š‘ š‘’š‘ć€—^2ā”š‘„ dx ā€“ āˆ«1ā–’(1 )/((1 + š‘„^2 ) ) dx = š’•š’‚š’ š’™āˆ’怖š’•š’‚š’ć€—^(āˆ’šŸ) š’™ + C

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