Chapter 7 Class 12 Integrals
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Ex 7.4, 5 - Chapter 7 Class 12 Integrals

Last updated at July 14, 2026 by

Ex 7.4, 5 - Integrate 3x / 1 + 2x4 - Chapter 7 Class 12 - Integration by specific formulaes - Formula 3

Ex 7.4, 5 - Chapter 7 Class 12 Integrals - Part 2
Ex 7.4, 5 - Chapter 7 Class 12 Integrals - Part 3

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Transcript

Ex 7.4, 5 3š‘„/(1 + 2š‘„4) Let š‘„^2=š‘” Differentiating both sides 2š‘„=š‘‘š‘”/š‘‘š‘„ š‘‘š‘„=š‘‘š‘”/2š‘„ Integrating the function š‘¤.š‘Ÿ.š‘”.š‘„ āˆ«1ā–’(3š‘„ )/(1 + 2š‘„^4 ) š‘‘š‘„ =āˆ«1ā–’3š‘„/(1 + 2(š‘„^2 )^2 ) š‘‘š‘„ Putting value of š‘„^2=š‘” and š‘‘š‘„=š‘‘š‘”/2š‘„ =āˆ«1ā–’3š‘„/(1 + 2š‘”^2 ) š‘‘š‘„ =āˆ«1ā–’3š‘„/(1 + 2š‘”^2 )Ɨš‘‘š‘”/2š‘„ =3/2 āˆ«1ā–’š‘‘š‘”/(1 + 2š‘”^2 ) =3/2 āˆ«1ā–’š‘‘š‘”/2(1/2 + š‘”^2 ) =3/(2 . 2) āˆ«1ā–’š‘‘š‘”/(1/2 + š‘”^2 ) =3/4 āˆ«1ā–’š‘‘š‘”/(š‘”^2 + 1/2). š‘‘š‘” =3/4 āˆ«1ā–’š‘‘š‘”/(š‘”^2 +(1/āˆš2)^2 ). š‘‘š‘”

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