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Example 32 - Chapter 7 Class 12 Integrals (Term 2)
Last updated at March 16, 2023 by Teachoo
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Example 25 Important Deleted for CBSE Board 2023 Exams
Example 26 Deleted for CBSE Board 2023 Exams
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Example 32 You are here
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Example 25 (Supplementary NCERT) Important Deleted for CBSE Board 2023 Exams
Chapter 7 Class 12 Integrals
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Transcript
Example 32 Evaluate β«_0^πβ(π₯ π ππ π₯)/(1 + cos^2β‘π₯ ) ππ₯ =(βπ)/2 [tan^(β1)β‘(π‘) ]_0^π Putting t = cos x =(βπ)/2 [tan^(β1)β‘(cosβ‘π₯ ) ]_0^π =(βπ)/2 [tan^(β1)β‘γ[cosβ‘π ]βtan^(β1)β‘[cosβ‘0 ] γ ] =(βπ)/2 [tan^(β1)β‘γ(β1)βtan^(β1)β‘(1) γ ] =(βπ)/2 [βtan^(β1)β‘γ(1)βtan^(β1)β‘(1) γ ] =(βπ)/2 [β2 tan^(β1)β‘(1) ] =π[tan^(β1)β‘(1) ] = π[π/4] =π ^π/π
