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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- The value of int0^(pi/2) log ((4+3sinx)/(4+3cosx)) dx is
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- If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :
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- The value of int0^(1) tan^(-1) ((2x-1)/(1+x-x^(2))) dx is
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- lim(n rarr oo) sum(r=1)^(n) r/n^(2) sec^(2) (r^(2)/n^(2)) =
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- lim(n rarr oo) 1/2 [(n+1)(n+2)…….2n]^(1/n) =
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- lim(n rarr oo)[(1+1/n)(1+2/n)…..2]^(1/n) =
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- lim(n rarr oo) 1/n^(100) (1^(99)+2^(99)+3^(99)+………+n^(99)) =
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- lim(n to oo) sum(r = 1)^(n) 1/n e^(r/n) is :
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- lim(n rarr oo) sum(r=1)^(n) 1/n sec^(2) ((rpi)/(4n)) =
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- lim(n rarr oo)1/nsum(r=1)^(n) sqrt(r/n) =
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- lim(n rarr oo) 1/n[sin(pi/(2n))+sin(pi/n)+sin((3pi)/2n)+........+sin(p...
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- The area between the curves y=2x-x^(2) and the x-axis is
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- The area bounded by the curve y = x^2 - 7x + 10 and the x - axis is
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- The area bounded byy^(2) =x^(3), the y-axis and the lines y=1 and y=2 ...
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- The area bounded by y=sin x and x-axis from x=0 to x=pi is
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- The area bounded by y=sin x and x-axis from x=0 to x=pi is
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- Area under the curve y= sin 2x + cos 2x between the ordinates x=0 and ...
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- The area enclosed by the curve y=sin^(3)x between x=0 and x=pi/2
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- The area of the figure bounded by the curves y=cosx and y=sinx and the...
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- The area bounded by the parabola y^(2) = 4x and x^2 = 4y is
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