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CBSE Class 12-science Answered

Evaluate the following expression: integral subscript 0 superscript 1 fraction numerator tcm to the power of negative 1 end exponent straight x over denominator 1 plus straight x squared end fraction dx It's tan and not tcm..
Asked by lekhakarthikeyan | 27 Dec, 2018, 02:31: AM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral subscript 0 superscript 1 space fraction numerator tan to the power of negative 1 end exponent straight x over denominator 1 plus straight x squared end fraction dx
tan to the power of negative 1 end exponent straight x equals straight t
fraction numerator 1 over denominator 1 plus straight x squared end fraction dx equals dt
straight x equals 0 rightwards double arrow straight t equals 0
straight x equals 1 rightwards double arrow straight t equals straight pi over 4
straight I equals integral subscript 1 superscript straight pi over 4 end superscript space tdt

Integrate space it space further
end style
Answered by Sneha shidid | 27 Dec, 2018, 11:54: AM
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