(ii)` [(1)/(2)x^(1/3)+x^(-1/5)]^(8)`

Find the term independent of x in the expansion of (i) [sqrt(x/3)+sqrt(3)/(2x^2)]^10 (ii) [1/2x^(1//3)+x^(-1//5)]^8

Find the term independent of x in the expansion of [1/2x^(1//3)+x^(-1//5)]^8

Coefficient of the term independent of x in the expansion of (1/2x^(1//3)+x^(-1//5))^(8) is ______

(i) 6x^(-2) (ii) (1)/(5)x^(5) (iii) (1)/(3x)

If 2(x^(2)+1)=5x , find : (i) x-(1)/(x) (ii) x^(3)-(1)/(x^(3))

Simplify and write the answer in the exponential form : (2^5-:2^8)^5x\ 2^(-5) (ii) (-4)^3x\ (5)^(-3)x\ (-5)^(-3) 1/8x\ 3^(-3)

Simplify : (4^(-1)x\ 3^(-1))^2 (ii) (5^(-1)-:6^(-1))^3 (2^(-1)+\ 3^(-1))^(-1) (iv) (3^(-1)x\ 4^(-1))^(-1)x\ 5^(-1)

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

Simplify: {4^(-1)"x"\ 3^(-1)}^2 (ii) \ \ \ {5^(-1)-:6^(-1)}^3 (iii) (2^(-1)+\ 3^(-1))^(-1) (iv) {3^(-1)"x"\ 4^(-1)}^(-1)\ "x"\ 5^(-1) (4^(-1)-\ 5^(-1))-:3^(-1)