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Home / Doubts and Solutions/JEE/Mathematics

56

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Asked by skumar.hurpade 1st August 2018, 7:00 PM
Answered by Expert
Answer:
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator straight e to the power of straight x sec squared straight x over denominator straight e to the power of 2 straight x end exponent minus 1 end fraction Consider comma straight f left parenthesis negative straight x right parenthesis equals fraction numerator straight e to the power of negative straight x end exponent sec squared open parentheses negative straight x close parentheses over denominator straight e to the power of negative 2 straight x end exponent minus 1 end fraction straight f left parenthesis negative straight x right parenthesis equals fraction numerator begin display style 1 over straight e to the power of straight x end style sec squared straight x over denominator 1 over straight e to the power of 2 straight x end exponent minus 1 end fraction straight f left parenthesis negative straight x right parenthesis equals fraction numerator sec squared straight x over denominator straight e to the power of straight x end fraction cross times fraction numerator straight e to the power of 2 straight x end exponent over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction straight f left parenthesis negative straight x right parenthesis equals minus fraction numerator straight e to the power of straight x sec squared straight x over denominator straight e to the power of 2 straight x end exponent minus 1 end fraction straight f left parenthesis negative straight x right parenthesis equals straight f left parenthesis straight x right parenthesis Function space is space odd. integral subscript fraction numerator negative straight pi over denominator 4 end fraction end subscript superscript straight pi over 4 end superscript straight f left parenthesis straight x right parenthesis dx equals 0 end style
Answered by Expert 2nd August 2018, 9:55 AM
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Tags: integration-examples definite-integral problems-on-integration problems-on-definite-integrals integration
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