Question: Integral calculus not computing as expect. What am I doing wrong ?

I am not able to understand why Maple fails to compute and display the integrals for Eqn (1) and Eqn (8). I have a integral table to cross-verify the integrals for each of these in here

 

Also, another integral I am trying to calculate in MWE2 (attached file) in which the integral computed doesn't make any sense.

MWE-2.mw

 

int(sqrt(x^3.(ax+b)), x)

int((x^3.(ax+b))^(1/2), x)

(1)

2+2

4

(2)

int(7*x^3+3*x^2+5*x, x)

(7/4)*x^4+x^3+(5/2)*x^2

(3)

int(1, x)

x

(4)

int(1/(x^2+1), x)

arctan(x)

(5)

int(1/(ax^2+bx+c), x)

x/(ax^2+bx+c)

(6)

int(x^n, x)

x^(n+1)/(n+1)

(7)

int(sqrt(x(ax+b)), x)

int(x(ax+b)^(1/2), x)

(8)

``


 

Download MWE-1.mw

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