" 12."tan^(-1)(e^(ax))

int sqrt(e^(x)-1)dxi sequa

intsqrt(e^(x)-1)dx= a) 2[sqrt(e^(x)-1)-tan^(-1)sqrt(e^(x)-1)]+c b) sqrt(e^(x)-1)-tan^(-1)sqrt(e^(x)-1)+c c) sqrt(e^(x)-1)+tan^(-1)sqrt(e^(x)-1)+c d) 2[sqrt(e^(x)-1)+tan^(-1)sqrt(e^(x)-1)]+c

tan^(-1)((a-x)/(1+ax))

If f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^(3))))+tan^(-1)(ln(e^(4)x^(3))/(ln(e//x^(12))))(AA x ge e) incorrect statement is

If f(x)=tan^(-1)((ln(e//x^(3)))/(ln (ex^(3))))+tan^(-1)(ln(e^(4)x^(3))/(ln(e//x^(12))))(AA x ge e) incorrect statement is

Find the derivative of "Tan"^(-1)((a-x)/(1+ax))

(d)/(dx) [tan^(-1) ((a-x)/(1+ ax))] is

Differentiate tan^(-1)((1+ax)/(1-ax)) with respect to sqrt(1+a^(2)x^(2))

Differentiate tan^(-1)((1+ax)/(1-ax)) with respect to sqrt(1+a^(2)x^(2))