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CHETANA PUBLICATION-Definite integration-Exercise
- Evaluate: \int{-a}^a sqrt (frac {a-x}{a+x}) dx
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- Evaluate: \int{0}^((pi)/2) cos^2 x dx
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- \int{2}^3 frac{dx}{x(x^3 -1)}=.............. (A) 1/3 log(208/189) (B)...
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- \int{0}^((pi)/2)frac{sin^2 x dx}{(1+cos x)^2}=........... A) frac{4-p...
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- \int{0}^log 5 frac{e^x sqrt (e^x -1)}{e^x + 3} dx=........... A) 3+2p...
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- \int{0}^((pi)/2) sin^6 x cos^2 x dx=............. (A) frac{7pi}{256} ...
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- \int{0}^1 frac{dx}{sqrt (1+x) - sqrt x} = k/3, then k is equal to........
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- \int{1}^2 frac{1}{x^2} e^(1/x) dx =................ A) sqrt e +1 B) s...
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- \int{2}^a[1/log x - 1/(log x)^2] dx = a + b/ log 2 A) a=e, b=-2 B) ...
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- Let I1= \int{e}^ {e^2} dx/log x and I2= \int{1}^2 frac{e^x}{x} dx, th...
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- \int{0}^9 frac{sqrt x}{ sqrt x + sqrt (9-x)} dx=............. A) 9/2 B...
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- The value of \int{-pi/4}^(pi/4) log( frac{2+sin theta }{2-sin theta}) ...
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- The value of I=\int{0}^(pi/2) frac{1}{1+cot x} dx is........... A) pi...
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- The value of \int{0}^(pi) frac{x}{4 cos^2 x + 9 sin^2 x} dx is...........
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- The value of \int{0}^1 x(1-x)^99 dx is........... A) 1/10100 B) 11/1...
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- The value of \int{-pi/2}^(pi/2) x sqrt (cos x - cos^2 x) dx is...........
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- The value of\int{0}^(pi/2) frac{1}{1+tan^3 x} dx is........... A) 0 B...
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- The value of \int{- pi }^(2 pi ) log(sec theta - tan theta ) d theta...
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- The value of I= \int{0}^43^(sqrt (2x+1)) is...........
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- \int{0}^oo frac{1}{(x^2+4)(x^2+9)}dx=................ (A) pi/30 (B) ...
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