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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1A
- 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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- int(0)^(log5)(e^(x)sqrt(e^(x)-1))/(e^(x)+3)dx=
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- int(0)^(pi//2)e^(sin^(2)x)sin2xdx=
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- int(pi//2)^(pi//2)e^(sin^(2)x).sin^(2n+1)xdx=
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- int(0)^(pi)(1)/(1+sinx)dx=
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- int(pi//4)^(3pi//4)(1)/(1+cosx)dx
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- int(0)^(3)xsqrt(1+x)dx=
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- int(0)^(1)(dx)/(x+sqrt(x))=
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- int(0)^(1)(x)/(1+sqrtx)dx=
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- int(pi^(2)//16)^(pi^(2//4))(sinsqrtx)/(sqrtx)dx=
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- int(0)^(1)(x)/((1-x)^(5//4))dx=
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- int(1//3)^(1)(x-x^(3))^(1//3)/(x^(4))dx=
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- int(0)^(pi)sin^(3)xcos^(4)xdx=
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- int(0)^(pi//2)sin^(6)xcos^(5)xdx=
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- int(0)^(pi)-(sin^(3)x)/(1+cos^(3)x)dx
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- int(0)^(pi//4)(sin^(9)x)/(cos^(11)x)dx=
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- int(r//6)^(pi//4)(dx)/(sin2x)=
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