integral ((sqrt x) +(1/4sqrtx)) dx

Question

Find the indefinite integral and check your result by differentiation. (Use C for constant of intergration.)

Answer 1

integrate 1.25*sqrt(x) =1.25*x^0.5

we no d/dx(x^3/2)=(3/2)*x^(1/2)=1.5*sqrt(x)

thus this integral=(1.25/1.5)*x^3/2

=0.83333333333...x^3/2

Answer 2

∫(X^1/2 + 1/4(X^1/2) ) dx

5/4∫x^1/2 dx

=5/6(x^3/2) + c