Find the Indefinite Integral without u substitution of the following

Question

a)(8x-3)/(12x^6)
b) 2sqrtx(5x-6)
c) (4x+3)/xsqrtx
d) (5x-6)^2 / sqrt x
e) 16x^2 + x - 20 / 4x^2

Answer 1

Expand each out, as this:

b. 10 sqrtx*x-12sqrtx
10 x^3/2 - 12 x^1/2
now use the power rule.

c. 4x^-1/2 + 3x^-3/2 use the power rule

d. expand the numerator, then write the sum of the three terms, use the power rule.