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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

11 months ago

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pi/2 ∫ 0 dx/1 + tan x

answer will be pi/4 ..see we have to use the property of definite integral f(a-x) = f(x). also change tanx to sinx / cosx now we have pi/2 ∫ 0 dx/1 + tan x = pi/2 ∫ 0 dx/ (1 + (sinx/cosx) )...

 abhidon3 6 months ago

sorrythelast line was wrongly typed .. it was lower limit = 0 and upper limit = pi/2 of [1]* 1/2

 abhidon3 6 months ago

yhe answer for 1/cosx.dx wil be ln {tan mod (pie/4 + x/2) mod}+c

 akshat 2 days ago

the answer for sin^4(x) will be 3/8x-1/4sin2x+1/32sin4x+c

 akshat 2 days ago

which 2 questions

 akshat 2 days ago
hi in numerator it is e raise to power modulus of x ...please help ….i posted ….......last time i posted this quetion …..at that time i called e raise to power integral part which is wrong...

Ans: Hello Student, Please find answer to your question below So, range of f(x) varies from -1 to 1 (both exclusive). But the co-domain is R. So f(x) is into function. (Function is onto when...

 Jitender Singh 8 months ago
A closed conical vessel is filled with water fully and is placed with its vertex down. Thewater is let out at a constant speed. After 21 minutes it was found that the height of thewater...

let the height of cone be ‘h’ and radius be ‘r’ Volume of water is (1/3) r 2 h. After 21min height of water becomes ‘h/2’.Applying simiar trianles concept in the cone, we get new radius as...

 AP GAUTHAM 6 months ago

I’m sorry it’s not showing “pi” at all.

 AP GAUTHAM 6 months ago

can you explain with steps pls

 poojahariharan 6 months ago
w is imaginary cube root of unity then (1+w-w^2)^7?

Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty

 Arun Kumar 10 months ago
how to find the seperate equations from a pair of straight lines?

by daracharya’s method

 amaan pathan one month ago
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