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                   if A denotes the area bounded by f(x)=mod (sinx+cosx whole divided by x),x axis ,x=Π and x=3Π the A what r the max and min value of A


3 years ago

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                                        Ans:Using the inequality$m(b-a)\leq \int_{a}^{b}f(x)dx\leq M(b-a)$$a = \pi , b = 3\pi$$m\leq f(x)\leq M$Max. value of A$2\pi M$Min. value of A$2\pi m$You can easily find the m & M from f(x) (I am not finding b/c f(x) is not clear)Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

one year ago

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3 ∫ 2 (2x 2 + 1) dx

integration of (2(X^2)+1)dx from 2 to 3 is equal to (2((x^3)/3)+x) from 2 to3 =(2((3^3)/3)+3)-(2((2^3)/3)+2) =(2*(27/3)+3)-(2*(8/3)+2) =(18+3)-((16/3)+2) =(21)-(22/3) =41/3

 Miryala Gopalakrishna 8 months ago

Ans:- 3 ∫ 2 (2x 2 +1)dx =2[(x 2+1 /2+1)] 2 3 +[x] 2 3 =2[(x 3 /3)] 2 3 +[x] 2 3 =2[(3 3 /3)+(2 3 /3)]+[3-2] =2[(27+8)/3]+1 =2[(35/3)]+1 =(70/3)+1 =73/3

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sir please answer other problems too.......i have tried them multiple times.......atleast provide the hints

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