`int xsqrtx dx`

Integrate the following : int1/(xsqrtx)dx

int dx/sqrt(x+xsqrtx) equals

int (e^(tan^(-1)sqrtx))/(sqrtx+xsqrtx) dx

int (1)/(sqrtx+xsqrtx) dx =

int (2xsqrtx)/5 dx

int_1^(4) xsqrtx dx =

Evaluate: int sqrtx/(4+xsqrtx)dx

State whether the differential equation xsqrtx(d^4y)/(dx^4)+2((dy)/(dx))^3=3y^3-x^2 is linear or non linear.

IF int_0^a sqrtx dx=2a int_0^(pi//2) sin^3 x dx, find int_a^(a+1) x dx .

Evaluate the following integrals: (i) int 2x sqrt(1 + x^2)dx " " (ii) int e^(-x^2) x dx " " (iii) int (sin x)/(1 + cos x) dx (iv) int 1/(1 + x^2)dx " " (v) int x (a - x)^8 dx .