14.1    a) integral_{0}^{1} (x^2)/(x+1)^4  dx
        b) integral_{-1}^{1} sqrt(1-x^2) dx
        c) integral_{0}^{2} (x^2)/(1+2x) dx

14.2    a) integral_{1}^{4} (1)/(1+sqrt(x)) dx
        b) integral_{0}^{5} (x)/(sqrt(1+3x)) dx
        c) integral_{0}^{ln(2)} sqrt(e^x-1) dx
        d) integral_{0}^{1} (x^3)/(sqrt(1-x^2)) dx
        e) integral_{0}^{pi^2/4} sin(sqrt(x)) dx

14.3    a) integral x*e^x dx
        b) integral x*cos(x) dx
        c) integral x*sin(2x+1) dx
        d) integral ln(x) dx

14.4    a) integral_{-1}^{1} x*(1+x)^5 dx
        b) integral_{1}^{e} x*ln(x) dx
        c) integral_{1}^{e} (ln(x))/(x^2) dx
        d) integral_{-1}^{1} x*arctan(x) dx
        e) integral_{0}^{1} arctan(x) dx
        f) integral_{0}^{1} arcsin(x) dx
        g) integral_{0}^{1} x*sqrt(2x+1) dx
        h) integral_{0}^{1} ln(x^2+1) dx

14.5    a) integral x^2*sin(x) dx
        b) integral x^3*e^x dx
        c) integral_{0}^{1} (x^2+x)*e^(2x) dx
        d) integral_{0}^{pi} e^x*sin(x) dx
        e) integral_{0}^{pi/2} (cos(2x))/(e^x) dx
        f) integral_{1}^{e} sin(ln(x)) dx