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MODERN PUBLICATION-INTEGRALS-SUB CHAPTER 7.3 EXERCISE 7(p) FAQ
- Prove that: int0^(2a)f(x)dx=int0^(2a)f(2a-x)dxdot
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- Using properties of definite integrals, prove the following: int0^2 ...
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- int(-pi)^pi(cosa x-sinb x)^2dx
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- Evaluate: int0^(pi/2)(sinx)/(sinx+cosx)dx
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- int-2^2x^2/[1+5^x]dx
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- Evaluate: int0^(pi//2)x/(sinx+cosx)dx
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- Evaluate: int0^(pi//2)(cos^2x)/(cos^2x+4sin^2x)dx
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- Evaluate: int0^pi (cos x)/(1+sinx)^2 dx
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- Evaluate (i) int0^pi (x sin x)/(1+cos^2 x) dx Evaluate (ii) int0^pi ...
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- Evaluate: int0^(2pi)1/(1+e^(s in x))dx
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- int0^(pi/2) log(sinx) dx
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- Prove that int0^(pi//2) sin 2x log tanx dx=0
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- Evaluate: int0^pi cos 2x log sin x dx
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- Evaluate: int0^1 cot^-1(1-x+x^2)dx
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- int- 1^(1//2)|xcos(pix)|\ dx
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- Evaluate: int0^1 |3x-1| dx
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- Evaluate int- 1^2|x^3-x|dx
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- Evaluate: int(-1)^1(x^3+|x|+1)/(x^2+2|x|+1)dx
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- Evaluate: int0^2 |x^2+2x-3| dx
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- Evaluate: int0^(3//2) |x sin pi x| dx.
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