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FULL MARKS-INTEGRAL CALCULUS-EXERCISE - 11.13
- Evaluate : int (1)/(sqrt(x + 1) + sqrt(x)) dx.
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- If int f (x) dx = g (x) +c, then int f(x)g' (x)dx
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- If int (3^(1/x))/(x^2) dx = k (3^(1/x)) + c, then the value of k is ……...
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- int (e^(x)(1+x))/(cos^(2)(xe^(x)))dx is
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- int (sqrt(tan x))/(sin 2x) dx is …………….
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- intsin^(3)xdx is:
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- int(e^(6 log x) - e^(5 log x))/(e^(4 log x) - e^(3 log x)) dx……………. .
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- int(secx)/(sqrt(cos 2x)) dx is………………….. .
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- int tan^(-1) sqrt((1 - cos 2 x)/(1 + cos 2x)) dx. ……………. .
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- int 2^(3x + 5) dx is ………..
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- int (sin^(8) x - cos ^(8) x)/( 1 - 2 sin^(2) x cos^(2) x) dx is
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- int (e^(x) (x^(2) tan^(-1) x + tan^(-1) x + 1))/( x^(2) + 1) dx is
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- int(x^2 + cos^2 x)/(x^2 + 1) "cosec"^2 xdx is …………….
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- int x^2 cos x dx is ……………..
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- int sqrt((1 - x)/(1 + x )) dx is
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- int(dx)/(e^x - 1) is ……………….
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- int e^(-4x) cos x dx is …………………
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- int ("sec"^2 x)/(tan^2 x - 1) dx ………………… .
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- int e^(-7x) sin 5 x dx is
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- int x^(2) e ^((x)/(2)) dx is
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- int(x + 2)/(sqrt(x^2 - 1)) dx………………… .
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