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HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
- int0^(1) sin (2 tan^(-1) sqrt((1+x)/(1-x))) dx =
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- int0^(1) (theta sin theta)/(1+ cos^(2) theta) d theta =
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- int0^(pi/2) (200sinx+100 cosx)/(sin x+ cos x) dx =
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- int(-1)^(1) (coshx)/(1+e^(2x)) dx =
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- int0^(pi//2)(dx)/(1 + tanx)=
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- The value of int(-pi/4)^(pi/4) x^(3) sin^(4) x dx =
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- int0^(pi/2) sin 2x. Log (tan x ) dx =
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- If f(t) is an odd function then int0^(x) f(t( dt is
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- int0^(pi/2) (cos theta)/(sqrt(4-sin^(2) theta) )d theta =
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- The value of the integral int0^(2a) (f(x))/(f(x) + f(2a - x)) is :
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- int(pi//6)^(pi//3) (dx)/(1 + sqrt(tan x)) =
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- int(-pi)^(pi) (sin^(4)x)/(sin^(4)x+cos^(4)x) dx =
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- int(-2)^(2) |x| dx =
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- Suppose f is such that f(-x) = -f(x) for all real x and int0^(1) f(x) ...
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- int(-1)^(0) (9x^(2)+2x+2 ) dx=
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- int(-1)^(1) log (x+sqrt(x^(2)+1))dx =
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- If F(x) = int(x^(2))^(x^(3)) log t dt ,( t gt 0) then F^(')(x) is equa...
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- int0^(pi) e^(sin^(2)x). cos^(3) x dx =
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- The value of int0^(1) (dx)/(x+sqrt(1-x^(2))) dx
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- inta^(b) (sqrtx dx)/(sqrtx + sqrt(a+b-x)) =
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