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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1A
- 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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- int(0)^(1)sqrt((1-x)/(1+x))dx=
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- int(0)^(a)sqrt((a+x)/(a-x))dx=
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- int(0)^(1)sqrt(x(1-x))dx=
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- int(1)^(2)sqrt((x-1)(2-x))dx=
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- The value of int(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2))dx is
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- int(-1)^(1){((x+2)/(x-2))^(2)+((x-2)/(x+2))^(2)-2}^(1//2)dx=
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- int(0)^(1)(1+e^(-x))dx=
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- int(0)^(1)(dx)/(e^(x)+e^(-x))=
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