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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1A
- int(sqrt2//3)^(sqrt(3)/3)(dx)/(sqrt(4-9x^(2)))=
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- int(-1)^(1)(1)/(1+x^(2))dx=
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- int(-1)^(1)(1)/((1+x^(2))^(2))dx=
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- int(0)^(1)sqrt(1-x^(2))dx
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- Evaluate underset(0)overset(a)int sqrt(a^(2)-x^(2)) dx
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- int(pi//6)^(5pi//6)sqrt(4-4sin^(2)t)" "dt=
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- The value of the integral int(0)^(3)(dx)/(sqrt(x+1)+sqrt(5x+1)) is
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- int(0)^(1)(4x^(3))/(sqrt(1-x^(8)))dx=
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- int(0)^(1)(x^(3))/(1+x^(8))dx=
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- int(0)^(pi//4)(tan^(4)x+tan^(3)x)dx=
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- int(0)^(pi//4)(e^(tanx))/(cos^(2)x)dx=
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- int(1//sqrt3)^(1)(Tan^(-1)x)^(3)/(1+x^(2))dx=
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- int(-1)^(3)(Tan^(-1)""(x)/((x^(2)+1))+Tan^(-1)""(x^(2)+1)/(x))dx=
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- int(1)^(e)((logx)^(3))/(x)dx=
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- int(1//pi)^(2//pi)(sin(1//x))/(x^(2))dx=
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- int(1//pi)^(2//pi)(cos(1//x))/(x^(2))dx=
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- int(0)^(oo)(dx)/((x+sqrt(x^(2)+1))^(3))=
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- int(0)^(x)(a^(-x)-b^(-x))dx=
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- int(0)^(oo)e^(-xlog2)dx=
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- int(2)^(3)(2-x)/(sqrt(5x-6-x^2))dx=
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