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CHHAYA PUBLICATION-DEFINITE INTEGRAL -SHORT ANSWER TYPE QUESTIONS
- int(0)^(a)xsqrt((a^(2)-x^(2))/(a^(2)+x^(2)))dx
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- int(0)^((3pi)/(4))sin^(2)xcos^(2)xdx
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- int(0)^(1)(dx)/(e^(x)+e^(-x))
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- int(0)^(a)cos^(-1).(1-x^(2))/(1+x^(2))dx
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- int(0)^((1)/(sqrt(2)))(sin^(-1)xdx)/((1-x^(2))^((3)/(2)))
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- int(0)^(1)(tan^(-1)xdx)/((1+x^(2))^((3)/(2)))
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- int((1)/(pi))^((2)/(pi))(1)/(x^(2))sin.(1)/(x)dx
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- int(0)^((pi)/(2))sqrt(sinphi)cos^(5)phidphi
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- int(0)^(pi)sin^(3)xcos^(3)xdx
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- int(1)^(e)(logx)^(2)dx
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- int(0)^((pi)/(2))(sinxcosxdx)/(2cos^(2)x+3sin^(2)x)
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- int(0)^(pi)(dx)/(3+2sinx+cosx)
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- int(0)^((pi)/(2))(xdx)/(1+cosx)
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- int(0)^(2)(x^(4)dx)/((4+x^(5))^((3)/(2)))
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- int(-a)^(a)(dx)/((x^(2)+a^(2))^((3)/(2)))
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- int(0)^((pi)/(2))cos^(4)xsin^(3)xdx
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- int(0)^(2)(x^(2)dx)/(sqrt(1+x^(2)))
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- int(0)^(1)sqrt((1-x)/(1+x))dx
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- int(-1)^(3)[tan^(-1).(x)/(x^(2)+1)+cot^(-1).(x)/(x^(2)+1)]dx
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- int(0)^(1)cot^(-1)(1-x+x^(2))dx
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