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OSWAAL PUBLICATION-INTEGRALS-DEFINITE INTEGRALS (LONG TYPE ANSWER TYPE QUESTIONS - III)
- Evaluate : int(1-x)sqrtxdx.
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- Prove that int(0)^(2a) f(x) dx = 2int(0)^(a) f(x) dx when f(2a -x) = f...
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- Prove that int(-a)^(a) dx = {(2int(0)^(a) f(x) dx, if f(x) "is even"),...
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- Evaluate int0pi/2(sin^4x)/(sin^4x+cos^4x)""dx
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- int0^1log(1+x)/(1+x^2)dx
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- Prove that int(a)^(b)f(x)dx=int(a)^(b)f(a+b-x)dx and hence evaluate in...
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- Prove that int(0)^(a)(x)dx = int(0)^(a) f(a-x)dx and hence evaluate in...
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- Evaluate the following integrals: (1-35) int(-1)^1|xcospix|dx
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- int0^(pi/2)x^2sinx dx
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- Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx
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- Show that : int0^(pi/2)(sin^2x)/(sinx+cosx)dx=1/(sqrt(2))log(sqrt(2)+1...
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- Evaluate the definite integrals intpi/6pi/3(sinx+cosx)/(sqrt(sin2x)...
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- Evaluate : int(0)^(pi)(4xsinx)/(1+cos^(2)x)dx.
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- Evaluate : int0^(pi/4)log(1+tanx)dxdot
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- int0^(pi/2)(sin2theta)/(sin^4theta+cos^4theta) d theta
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- Evaluate: int0^4(|x|+|x-2|+|x-4|)\ dx
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- int2^5(|x-2|+|x-3|+|x-5|)dx
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- Evaluate: int0^(2pi)1/(1+e^(sinx))dx
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- Evaluate int(0)^(pi)(xsinx)/((1+cos^(2)x))dx.
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- Evaluate : int(-1)^2|x^3-x|\ dx
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- Evaluate: int(pi//4)^(pi//2)cos2xlogsinxdx
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