What is the value of `int(d)/(dx)f(x)dx-(d)/(dx)intf(x)dx`?

Find d/dx(intf(x)dx)

What is the value of x , if (d)/(dx)e^(x^(2))=e^(x^(2))?

State as true or false: If d/dx intf(x)dx=d/dxintg(x)dx then intf(x)dx-intg(x)dx=c Where c is constant.

int d/dx(f(x)) dx=d/dx int f(x)dx (True/false)

What is the value of d/dx[lnsin^(-1){cos((pi-2e^x)/2)}] ?

If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/(dx)-y)^(2)

Write the value of d/dx(sin^-1x+cos^-1x) for x in(-1,1) .

If y=sec^(-1)((x^(2)+1)/(x^(2)-1)) , then find (dy)/(dx) . Here f^(-1)(x) expression is of the form (x^(2)+a^(2))/(x^(2)-a^(2)) , so we substitute x=tan theta and then use suitable trigonometrical formula to write it in simplest form and then differentiate