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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1B
- int (1)/((x+2)sqrt(x+1))dx=
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- int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=
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- int (dx)/((x+1)sqrt(4x+3))=
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- int(x^(2)-1)/(x^(4)+1)dx=
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- int (x^(2))/(x^(4)+1)dx=
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- int (x^(2)+1)/(x^(4)+x^(2)+1)dx=
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- int (1)/(x^(4)+1)dx=
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- int (1)/(sqrt(1+x^(4)))dx=
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- int (x^(2)+1)/(x^(4)+x^(2)+1)dx=
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- int (7x^(8)+8x^(7))/((1+x+x^(8))^(2))dx=f(x)+c rArr f(x)=
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- int (sqrt(x^(2)+1)[log(x^(2)+1)-2 logx])/(x^(4))dx=
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- int (x^(2))/(sqrt(a^(2)-x^(2)))dx=
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- int (1)/((9-x^(2))^(3//2))dx=
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- int(1)/((4+x^(2))^(5//2))dx=
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- int(x^(2))/((1+x^(2))^(3//2))dx=
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- int(x^(3))/(sqrt(1+x^(2)))dx =
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- int (x^(3)+1)/(sqrt(1-x^(2)))dx=
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- int (x)/((x^(2)+2x+2)^(2))dx=
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- Evaluate: intsqrt(secx-1)\ dx
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- int (sqrt(sin)x+sqrt(cos)x)^(-4)dx=
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