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PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
- If f(x) be an increasing function defined on [a,b] then max {f(t) alet...
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- Choose the correct answer: The hybridisation of the carbon atom (under...
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- Choose the correct answer: The hybridisation of the carbon atom (under...
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- If int0^(pi/2) sintheta log sintheta d theta =log (A/(198e)) then the ...
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- If int0^1 dx/((1+x)(2+x)(sqrt(x(1-x)))) = (piA)/(sqrt6(sqrt3+1)) then ...
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- If-int0^(2pi) [sinx+cosx]dx =Api and [x] denotes the greatest integer ...
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- The value of the integral sqrt2 int0^pi sqrt(1-cos2x) dx is ?
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- The value of the integral sqrt2 int0^(pi/2) f(sin2x) sinx dx=A (sqrt2/...
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- Evaluate int0^sqrt3 (1/(1+x^2)) sin^(-1)((2x)/(1+x^2)) dx
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- Evaluate : int0^(pi//2) cos^3xcdot sinx dx
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- Evaluate int0^(pi/4) (e^(secx) (sin(x+(pi/4)))/(cosx(1-sinx)) dx
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- If absalt1 show that int0^pi (log(1+acosx))/cosx dx= pisin^(-1)a
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- If Un=int0^pi (1-cosnx)/(1-cosx) dx where n is positive integer or zer...
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- Prove that int0^x e^(xt)e^(-t^2)dt =e^(x^2/4) int0^xe^(-t^2/4)dt
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- Find a function g:R rarr R continous in [0,infty] satisfying g(0) =1 a...
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- Evaluate underset(nrarrinfty)lim 1/n overset(4n)underset(r=1)sum r/(sq...
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- If In=int0^1 x^ntan^(-1)x dx then prove that (n+1)In +(n-1)I(n-2)=(pi/...
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- If f(x)=x+int0^1(xy^2+x^2y) dy find f(x)
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- The total number of distinct x in[0,1] for which int0^x t^2/(1+t^4) dt...
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- The value of int(-pi/2)^(pi/2) (x^2cosx)/(1+e^x) dx is equal to
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