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" 8."(x^(2))/(sqrt(x^(6)+a^(6)))...

" 8."(x^(2))/(sqrt(x^(6)+a^(6)))

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If sqrt(1-x^(6))+sqrt(1-y^(6))=a(x^(3)-y^(3)), then prove that (dy)/(dx)=(x^(2))/(y^(2))sqrt((1-y^(6))/(1-x^(6)))

4int(sqrt(a^(6)+x^(8)))/(x)dx is equal to a) sqrt(a^(6)+x^(8))+(a^(3))/(2)ln|(sqrt(a^(6)+x^(8))+a^(3))/(sqrt(a^(6)+x^(8))-a^(3))|+c b) a^(6)ln|(sqrt(a^(6)+x^(8))-a^(3))/(sqrt(a^(6)+x^(8))+a^(3))|+c c) sqrt(a^(6)+x^(8))+(a^(3))/(2)ln|(sqrt(a^(6)+x^(8))-a^(3))/(sqrt(a^(6)+x^(8))+a^(3))|+c d) a^(6)ln|(sqrt(a^(6)+x^(8))+a^(3))/(sqrt(a^(6)+x^(8))-a^(3))|+c

4int(sqrt(a^(6)+x^(8)))/(x)dx is equalto sqrt(a^(6)+x^(8))+(a^(3))/(2)ln|(sqrt(a^(6)+x^(8))+a^(3))/(sqrt(a^(6)+x^(8))-a^(3))|+ca^(6)ln|(sqrt(a^(6)+x^(8))-a^(3))/(sqrt(a^(6)+x^(8))+a^(3))|+csqrt(a^(6)+x^(8))+(a^(3))/(2)ln|(sqrt(a^(6)+x^(8))-a^(3))/(sqrt(a^(6)+x^(8))+a^(3))|+c|(sqrt(a^(6)+x^(8))+a^(3))/(sqrt(a^(6)+x^(8))-a^(3))|+c

root(5)(x^(8).sqrt(x^(6).sqrt(x^(-4))

If sqrt(1-x^6)+sqrt(1-x^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))

If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))

If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))

Solve sqrt(5x^(2)-6x+8)-sqrt(5x^(2)-6x-7)=1

If (5+2sqrt6)^(x^(2)-8)+(5-2sqrt6)^(x^(2)-8)=10, x inR On the basis of above information, answer the following questions : Number of solution (s) of the given equation is/ are -

If (5+2sqrt6)^(x^(2)-8)+(5-2sqrt6)^(x^(2)-8)=10, x inR On the basis of above information, answer the following questions : Sum of positive solutions is