" 6."quad [" Gigyril zisRtr "402i:(1)/(x^(2)(x^(4)+1)^((3)/(4)))]

factorize: x^(2)+(1)/(x^(2))+4i(x-(1)/(x))-6

(d)/(dx)[tan^(-1)((4x-4x^(3))/(1-6x^(2)+x^(4)))]=

Solve (1)/(x+1) + (4)/(3x+6) = (2)/(3)

(i) int (3x^2)/(x^6+1) dx (ii) int (3x)/(1+2x^4) dx

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)

If x+1/x=6 , find (i) x^2+1/(x^2) (ii) x^4+1/(x^4)

((6x^(4)+8x^(3)+27x^(2)+7)/(3x^(2)+4x+1))

The series expansion of log[(1 + x)^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

The series expansion of log_(e) [(1 + x^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]