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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- If f: R rarr R and g:R rarr R are one-to-one, real valued functions, t...
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- If int(log2)^(x) (du)/((e^(u)-1)^(1/2)) = pi/6, then e^(x) =
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- The value of int0^(sin^(2)theta) sin^(-1) sqrtphi dphi + int0^(cos^(2)...
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- int0^(10pi) |sin x| dx is
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- int(-pi)^(pi) (2x(1 + sin x))/(1 + cos^2 x) dx is :
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- int0^(sqrt2) [x^(2)] dx = , wher [x] is the greatest integer function
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- If P = int0^(3pi) f(cos^(2)x) dx and Q = int0^(pi) f(cos^(2)x) dx then
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- If int0^(1) (x^(7))/(sqrt(1-x^(4))) dx =
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- Let I(1) = inta^(pi-a) xf (sin x) dx, I(2) = inta^(pi-a) f(sinx) dx th...
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- The value of the integral int(1/n)^(((an-1))/(n)) sqrtx/(sqrt(a-x) + s...
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- For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...
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- If f(x) =
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- int(pi/6)^(pi/3) (dx)/(1+sqrtcotx) =
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- int(-pi)^(pi) (1 - x^2)sin x cdot cos^2 x cdot dx is :
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- If int0^(a) f(2a-x) dx = mu and int0^(a) f(x) dx = lambda, then int0^(...
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- If U(n) = int0^(pi/4) tan^(n) x dx then u(n)+u(n-2) =
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- The value of I = int0^(1) x|x-1/2|dx is
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- The value of int2^(8) |x-5| dx is
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- int0^(pi/8) cos^(3) 4 theta d theta =
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- int0^(pi) (xdx)/(1+sinx) =
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