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MODERN PUBLICATION-INTEGRALS-SUB CHAPTER 7.3 EXERCISE 7(n) SHORT ANSWER TYPE QUESTIONS
- (i) int0^1 xe^x dx=1 (ii) int0^1 tan^-1 x dx=pi/4-1/2 log 2
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- int0^(pi//4) 2 tan^3 x dx=1-log 2
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- int0^1 sin^-1 x dx=pi/2-1
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- If int0^a3x^2dx=8, find the value of adot
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- int(0)^(pi//4) tan x dx
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- int0^(pi/2) x^2sinxdx
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- int0^(pi//2) x^2 cos 2x dx
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- Evaluate the integrals int-1 1(dx)/(x^2+2x+5)
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- (i) int1^2 (dx)/((x+1)(x+2)) (ii) int1^2 (x+3)/(x(x+2) dx
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- int1^3 (dx)/(x^2(1+x))
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- int0^pi (x dx)/(a^2 cos^2 x) , (a gt 1)
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- int3^4 (dx)/sqrt(x^2+4)
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- Evaluate the following : int(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.
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- int (1)^(2) (1/x - 1/(2x^(2)))e^(2x) dx is equal to
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- int0^1 1/(sqrt(x+3)-sqrt(x+1)) dx
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- int0^1 (cos^-1 x)^2 dx.
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- Prove that: int0^(pi//2) cos^4 x dx =(3pi)/16
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- If the marginal revenue (MR) function is defined as the rate of change...
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- IF the marginal cost is defined as the rate of change of total cost wi...
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- If (x) is of the form f(x)=a+b x+c x^2, show that int0^1f(x)d...
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