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CHHAYA PUBLICATION-DEFINITE INTEGRAL -SHORT ANSWER TYPE QUESTIONS
- 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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- int(-3)^(-2)(dx)/(x^(2)-1)=(1)/(2)log.(3)/(2)
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- int(0)^((pi)/(2))cos^(5)xdx=(8)/(15)
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- int(1)^(2)((x^(2)-1)/(x^(2)))e^(x+(1)/(x))dx=e^((5)/(2))-e^(2)
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- int(0)^(pi)xcosxdx=-2
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- int(0)^((1)/(2))(xsin^(-1)x)/(sqrt(1-x^(2)))dx=(1)/(2)(1-(pi)/(2sqrt(3...
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- int(1)^(2)((1)/(x)-(1)/(x^(2)))e^(x)dx=e((e)/(2)-1)
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- int(0)^((pi)/(2))sinthetacostheta(a^(2)sin^(2)theta+b^(2)cos^(2)theta)...
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- int(-1)^(1)xdy where y = sin x
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- int(0)^((pi)/(2))y^(2)dx where y = sin x
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- int(-a)^(a)x^(2)ydx where x^(2)+y^(2)=a^(2)andyge0
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- int(0)^(a)y^(2)dx where x=acosthetaandy=bsintheta
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- int(0)^(1)ydx where x=cos2y
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- int(a)^(2a)xydx where x^(2)-y^(2)=a^(2)andyge0
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