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CHETANA PUBLICATION-Definite integration-Exercise
- \int{0}^((pi)/4) log(1+2tantheta + tan^2theta) dtheta =.........
06:27
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- \int{a}^b sqrt ((x-a)(b-x)) dx is equal to........
10:39
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- \int{0}^((pi)/2) sqrt sin2 theta sin theta dtheta is .........
08:26
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- \int{-2}^2 abs(1-x) dx=...........
04:34
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- The value of \int{0}^(oo) frac{x log x}{(1+x^2)^2} dx is ...........
04:53
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- The value of integral \int{(-pi)/3}^((pi)/3) frac{x sin x}{cos^2 x} dx...
07:52
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- \int{0}^1 tan^(-1) frac{x}{sqrt (1-x^2)} dx is.......... A) (pi)/2 +1...
04:20
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- \int{0}^((pi)/4) frac{sin 2t}{sin^4 t + cos^4 t} dt is..........
07:41
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- \int{2}^3 frac{1}{x ( x^2 -1)} dx is.......... A) (1/2) log (32/27) ...
02:59
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- \int{0}^1 x^2 sqrt(1-x) dx is..........
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- \int{0}^pi frac{t tan t}{sec t + cos t} dt =..........
06:36
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- \int{0}^((pi)/2) frac{sin x}{(sin x + cos x)^2} dx =k log(1+sqrt 2), ...
08:57
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- \int{0}^(pi/2) sin(x-(pi)/4) dx =......... A) 2+sqrt 2 B) 2-sqrt 2 ...
01:25
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- If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...
01:41
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- If \int{0}^1 frac{dx}{sqrt (1+x) -sqrt x} = k/3, then k=...........
04:05
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- The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...
02:45
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- If \int{0}^k 4x^3 dx =16, then value of k is .......... A) 1 B) 2 C)...
01:41
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- Evaluate the following: If \int{0}^k frac{1}{2+8x^2} dx = (pi)/16, fin...
03:32
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- Evaluate : \int{1}^2 frac{1}{x^2} e^(1/x) dx
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- Evaluate: \int{0}^((pi)/4) frac{tan^3 x}{1+ cos 2x} dx
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