int x((ln a^(a^(x/2)))/(3a^(5x/2)b^(3x))+(ln b^(b^(x)))/(2a^(2x)b^(4x)))dx(" where "a,b in R^(+))" is equal "

intx(lna^(a^(x/2))/(3a^((5x)/2)b^(3x))+(lnb^(b^x))/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i s (a) 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k (b) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k (c) 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k (d) -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(e(a^(2x)b^(3x)))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k

int_(a)^(b)(log x)/(x^(2))dx

int(ln x)/(x^(3))dx=A(ln x)/(x^(2))+(B)/(x^(2))+c

[int((x^(5)+x^(4)+4x^(3)+4x^(2)+4x+4))/((x^(2)+2)^(3))dx=A log|x^(2)+2|+(1)/(sqrt(2))tan^(-1)((x)/(B))+c" then "],[B^(1/A)" is equal to "]

If int(ln((x-1)/(x+1)))/(x^(2)-1)dx=(1)/(a)*(ln|(x-1)/(x+1)|)^(b)+c , then a^(2)-b^(2)-ab is equal to __________.

If int(ln((x-1)/(x+1)))/(x^(2)-1)dx=(1)/(a)*(ln|(x-1)/(x+1)|)^(b)+c , then a^(2)-b^(2)-ab is equal to __________.