" (iii) "(x^(8))/((1-x^(3))^(1/3))

Evaluate: int(x^(8))/((1-x^(3))^((1)/(3)))dx

Connect int x^(m-1)(a+bx^(n))^(p)dx with int x^(m-n-1)(a+bx^(n))^(p)dx and evaluate int(x^(8)dx)/((1-x^(3))^(1//3)) .

Evaluate: int(x^8)/((1-x^3)^(1//3))Dx

Find underset( x rarr oo )("lim") ((1-2x)/((1+ 8x^(3))^(1//3))+2^(-x^(7)))

int x^8/(1+x^3)^(1//3)dx

[int((x+x^(3))^(1/3))/(x^(4))dx" is equal to "],[[" (1) "(3)/(8)((1)/(x^(2))-1)^(4/3)+c," (2) "-(3)/(8)[(1+(1)/(x^(2)))^(4/3)]+c],[" (3) "(1)/(8)(1+(1)/(x^(2)))^(4/3)+c," (4) "(1)/(8)((1)/(x^(2))-1)^(4/3)+c]]

int_1^8((x^(1/3)-1)(2-x^(2/3)))/x^(1/3)

lim_(x rarr a)(x^((5)/(8))-a^((5)/(8)))/(x^((1)/(3))-a^((1)/(3)))=

If x is so small that x^(3) and higher powers of x may be neglectd,then ((1+x)^(3/2)-(1+(1)/(2)x)^(3))/((1-x)^(1/2)) may be approximated as 3x+(3)/(8)x^(2) b.1-(3)/(8)x^(2) c.(x)/(2)-(3)/(x)x^(2) d.-(3)/(8)x^(2)