Chapter 7 Class 12 Integrals
Concept wise

Ex 7.8, 3 - Chapter 7 Class 12 Integrals

Last updated at August 5, 2026 by

Ex 7.8, 3 - Direct Integrate (4x3 - 5x2 + 6x + 9) dx - Ex 7.8 - Ex 7.8

part 2 - Ex 7.8, 3 - Ex 7.8 - Serial order wise - Chapter 7 Class 12 Integrals

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Ex 7.8, 3 āˆ«_1^2ā–’怖(4š‘„3āˆ’5š‘„2+6š‘„+9) š‘‘š‘„怗 Step 1 :- F(š‘„)=āˆ«1ā–’(4š‘„^3āˆ’5š‘„^2+6š‘„+9)š‘‘š‘„ =(4š‘„^(3+1))/(3+1)āˆ’(5š‘„^(2+1))/(2+1)+(6š‘„^(1+1))/(1+1)+9š‘„ =(4š‘„^4)/4āˆ’(5š‘„^3)/3+(6š‘„^2)/2+9š‘„ = š‘„^4āˆ’5/3 š‘„^3+怖3š‘„怗^2+9š‘„ Hence f(x)怖=š‘„怗^4āˆ’(3š‘„^3)/3+3š‘„^2+9š‘„ Step 2 :- āˆ«_1^2ā–’怖(4š‘„^2āˆ’9š‘„^2+6š‘„+9)š‘‘š‘„ 怗 =š¹(2)āˆ’š¹(1) =(2)^4āˆ’5/3 (2)^3+3(2)^2+9(2)āˆ’(1^4āˆ’5/3 Ɨ1^3+3 Ɨ1^2+9 Ɨ1) =16āˆ’5/3 Ɨ8+3 Ɨ4+9 Ɨ2āˆ’1+5/3āˆ’3āˆ’9 =16āˆ’40/3 +12+18āˆ’1+5/3āˆ’3āˆ’9 =33āˆ’35/3 =(3(33) āˆ’ 35)/3 = šŸ”šŸ’/šŸ‘

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