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DIPTI PUBLICATION ( AP EAMET)-INDEFINITE INTEGRATION -EXERCISE 1C
- int Sin^(-1) (3x-4x^(3))dx=
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- int x Tan^(-1) x dx=
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- intTan(sqrt((1-x)/(1+x)))dx=
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- int Sin^(-1)((2x)/(1+x^(2)))dx=f(x)-log (1+x^(2))+c rArr f(x)=
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- If I(1)= int Sin^(-1)((2x)/(1+x^(2)))dx,I(2)= int Cos^(-1)((1-x^(2))/(...
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- int Sinh^(-1)x dx=
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- int Cosh^(-1)x dx=
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- int (x+sinx)/(1+cosx)dx=
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- int ((x)/(2)"sec"^(2)(x)/(2)+"tan"^(x)/(2))dx
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- int(x-sinx)/(1+cosx)dx= tan((x)/(2))+plog|sec((x)/(2))|+c rArr p=
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- int cos sqrt(x)dx=
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- int x^(3)*e^(x^(2))dx=
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- intx ((sec 2x-1)/(sec 2x+1))dx=
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- int (x)/(1+cosx)dx=
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- int sin(logx)+cos(logx)dx=
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- int sin (log x)dx=
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- int(logx)/((1+ logx)^(2))dx=
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- int (1)/(log x)-(1)/((log x)^(2))dx=
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- int e^(x)(x^(2)+2x+3)dx=
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- int(x+1)^(2)e^(x)dx=
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