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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- int0^(pi/2) (sinx-cosx)/(1+sinx cosx) dx =
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- int(-1)^(2) |x| dx =
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- int0^(oo) sech x dx =
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- int0^(pi/2) (dx)/(1+cotx) =
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- If f(m,n) = int0^(pi/2) cos^(m)x. cosnx and f(m,n) = m/(m+n) f(m-1, n-...
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- int (dx)/(a+bcosx) = 1/(sqrt(a^(2)-b^(2)) ) cos^(-1) [(b + a cos x)/(a...
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- int0^(pi/2) 1/(1+(cotx)^(10)) dx =
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- int(0)^(pi//2) log sin x dx =
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- int0^(pi//2) cos x e^(sin x) dx is :
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- int(-1)^(1) d/(dx) ((tan^(-1)) 1/x) dx =
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- If I(n) = int0^(1) x^(n).e^(-x) dx, AA n in N then I(7)-7I(6) =
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- If int0^(a) f(x) dx = int0^(a) f(a-x) dx, then the value of int0^(pi) ...
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- int0^(pi/2) (asinx+bcosx)/(sinx+cosx) dx =
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- The value of int0^(pi/2) 2^(sinx)/(2^(sinx)+2^(cosx)) dx is
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- Evaluate the integrals by using substitution int(0)^(1)sin^(-1)((2x)...
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- Evaulate int(0)^(pi//4)log(1+tanx)dx.
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- If I(1) = inte^(e^(2)) (dx)/(log x) and I(2) = int1^(2) (e^(x)dx)/(x) ...
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- If f(x) is integrable on [0,a], then int0^(a) (f(x))/(f(x)+ f(a-x)) dx...
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- If In = int0^(pi//4) tan^n theta d theta, then for any +ve integer n, ...
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- The value of int(-1/2)^(1/2) (cosx). log ((1-x)/(1+x)) dx is
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