Recently Active Calculus Questions

Q1)The value of ∫a1[x]f'(x)dx,a>1,where [x] denotes the greatest integer not exceding x is? Q2) If I1=∫01 2x2dx ;I2=∫012x3dx ;I3=∫12 2x2dx; I4=∫122x3dx then a)I1>I2 b)I2>I1 c)I3>I4 d)I3=I4 Pls explain th ...

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Evaluate: 0∫πxtanx dx/(secx + tanx) ...

plz help me solve √tanx using 1st principle ...

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the question is x2-√x/(√x)-x limit x tending to 1 plz solve this both by dirct derivative and 1st priciple 2)√tanx solve this by 1st principle ...

thanks a lot everybody ...

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SHORTCUT NEEDED!!!! LET S(t) be the area inclimed betwn parabola y = x2 + 2x - 3 and da line y = tx +1, then wat are the values of t for least value of S(t)??? ans : t = 2, 32/3 ...

WHAT ARE NON INTEGRABLE FUNCTIONS? GIVE EXAMPLES. ...

If limx→0 [(1+λ) + 8e1/x] / [1+ (1-k)e1/x ]= 2, then λ+k =? ...

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THIS ONE IS FRM DA FORUM ITSELF : If f(x) f'(x) f"(x)>0 for all x in R, prove that f(x) is a strictly increasing function CAN NE1 PLZZZ XPLAIN ME THIS EXPLANATION OF CELESTINE f'x never 0 , so either strict inc or strict d ...

prove that summation k=1 to k=n-1 (n-k)cos(2kpi)/n = -n/2 for all n≥3 , n belongs to integer. ...

i need the detailed solution for the derivative of: tan x ...

If f(x) f'(x) f"(x)>0 for all x in R, prove that f(x) is a strictly increasing function ...

The curve y = 17 - 8 √|x| and the lines x = ± 4 are drawn on a graph paper. The area bounded by these curves and the x-axis is cut out to yield the figure ABCDEFA,where D & F are (±4,0) and E is (0,0). A,B & C are points ...

plot the graph |y| = (Sin(|x|-[|x|])/(|x|-[|x|])) where |.| denote mod function and [.] denote greatest integer function. then find it's domain and range... ...

Let f:R→R be given by f(x) =(x+1)2 - 1 where x ≥ -1 .If A= {x:f(x)=f-1(x)} ,then A=? ...

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a tree trunk , l long, is in shape of a frustum of a cone the radii of its ends being a and b(a>b) it is required to cut from it a beam of uniform cross square section show that the beam of the greatest volume that can be ...

a tree trunk , l long, is in shape of a frustum of a cone the radii of its ends being a and b(a>b) it is required to cut from it a beam of uniform cross square section show that the beam of the greatest volume that can be ...

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i am getting rong ans for the 2 questions *Image* ...

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0∫2π(sinxcos[x]-cosxsin[x])/(cosxcos[x]+sinxsin[x])dx ...

y2=P(x) which is a polynomial of degree 3 then 2(d/dy (y3 * d2y/dx2) ) equals..... ...

*Image* answer: a plz solve...just dont giv d answer,,, ...

I f(x) nd g(x) have noo derivative at x=a,then f(x)+g(x) may have a derivative at x=a. plz explain dis........ ...

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