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CBSE Class 12-science Answered

Please solve the following question

Asked by Balbir | 07 Oct, 2017, 11:29: PM
answered-by-expert Expert Answer
begin mathsize 16px style integral fraction numerator dx over denominator 2 plus 3 cos squared straight x end fraction

Dividing space by space cos squared straight x space to space numerator space and space denominator.
integral fraction numerator begin display style fraction numerator 1 over denominator begin display style cos squared end style begin display style straight x end style end fraction end style over denominator begin display style fraction numerator 2 over denominator begin display style cos squared end style begin display style straight x end style end fraction plus fraction numerator 3 cos squared straight x over denominator begin display style cos squared end style begin display style straight x end style end fraction end style end fraction dx
integral fraction numerator sec squared straight x over denominator 2 sec squared straight x plus 3 end fraction dx
integral fraction numerator sec squared straight x over denominator 2 left parenthesis 1 plus tan squared straight x right parenthesis plus 3 end fraction dx
Put space tanx space equals space straight t space rightwards double arrow sec squared xdx equals dt
integral fraction numerator dt over denominator 2 left parenthesis 1 plus straight t squared right parenthesis plus 3 end fraction
integral fraction numerator dt over denominator 2 plus 2 straight t squared plus 3 end fraction
integral fraction numerator dt over denominator 2 straight t squared plus 5 end fraction
solve space it space further space using space integration space formula. end style
Answered by Sneha shidid | 21 Dec, 2017, 03:18: PM
CBSE 12-science - Maths
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CBSE 12-science - Maths
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CBSE 12-science - Maths
Asked by diptiranigupta1981 | 02 Oct, 2023, 06:33: PM
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Asked by devilkano80 | 07 Jul, 2022, 01:45: PM
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CBSE 12-science - Maths
integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
Asked by Prajapatiraj770 | 09 Jun, 2021, 09:25: AM
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