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CBSE Class 12-science Answered

Solve the problem in photo showing each step clearly 

Asked by Vidushi412 | 28 Aug, 2019, 09:41: PM
Expert Answer
I equals integral fraction numerator square root of sin x end root d x over denominator square root of sin x end root plus square root of cos x end root end fraction
equals integral fraction numerator d x over denominator 1 plus square root of co t x end root end fraction
T a k e space square root of c o t x end root equals t rightwards double arrow fraction numerator 1 over denominator 2 square root of c o t x end root end fraction open parentheses negative cos e c squared x close parentheses space d x equals d t
d x equals fraction numerator negative 2 t space d t over denominator 1 plus t to the power of 4 end fraction
therefore space I equals integral fraction numerator negative 2 t space d t over denominator open parentheses 1 plus t to the power of 4 close parentheses open parentheses 1 plus t close parentheses end fraction
equals negative integral fraction numerator open parentheses 1 plus t to the power of 4 space plus 1 minus t to the power of 4 close parentheses t space d t over denominator open parentheses 1 plus t to the power of 4 close parentheses open parentheses 1 plus t close parentheses end fraction
equals negative open square brackets integral fraction numerator t over denominator 1 plus t end fraction d t plus integral fraction numerator open parentheses 1 plus t squared close parentheses open parentheses t minus t squared close parentheses over denominator 1 plus t to the power of 4 end fraction d t close square brackets
N o w space i n t e g r a t e space t h i s space a n d space g e t space t h e space r e s u l t
Answered by Renu Varma | 30 Aug, 2019, 10:51: AM
CBSE 12-science - Maths
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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CBSE 12-science - Maths
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CBSE 12-science - Maths
Asked by tushantyadav63224 | 30 Aug, 2020, 09:43: PM
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CBSE 12-science - Maths
Asked by dk20062000shaurya | 13 May, 2020, 11:30: AM
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CBSE 12-science - Maths
integral space c o t space x space square root of cos e c space x space end root space d x
Asked by keshavvbhutraa | 20 Apr, 2020, 04:26: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by Harmanjaura462003 | 25 Sep, 2019, 04:35: PM
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CBSE 12-science - Maths
Asked by Vidushi412 | 28 Aug, 2019, 09:41: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
i n t e g r a t e space integral sin to the power of negative 1 end exponent square root of fraction numerator x over denominator a plus x end fraction space end root space d x
Asked by manish.kkd4 | 20 Feb, 2019, 12:15: PM
ANSWERED BY EXPERT
CBSE 12-science - Maths
Asked by dhawalkushal | 13 Feb, 2019, 08:56: AM
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