Find the derivatives of the function:?

Question

Integral (from tanx to x^2) : dt / sqrt(7+t^4)

I keep on getting the wrong answer here .... help!

Answer 1

Pick a constant C (it doesn't matter which).

Then that function is the integral from C to x^2 minus the integral from C to tan x.

Well, look at the related function f(y) that is the integral from C to y, as a function of y. What's its derivative? (Hint: Fundamental Theorem of Calculus -- yes, it's that simple).

Now apply the Chain Rule separately twice, once to differentiate f(g(x)) when g = x^2 and once when g = tan x.

Then put it all back together. :)