Question

Using the fundamental theorem of calculus, find the derivative of

F(x) = definite intergral from x=10 to x=x (tan theta)dtheta

steps please I've been trying to catch my mistake

Answer 1

there is like 1 step ;)

Answer 2

\[d/dt\int tan\theta d\theta=Log[cos[x]-Log[Cos[10]]]\]=

d/dt Log[Cos[x]]

Answer 3

Tan[x]

Answer 4

\[\frac{d}{dx}\int\limits_{a}^{x}f(\theta)d\theta=f(x)\]

Answer 5

you have to be careful about what values of x works here

Answer 6

Cos[10] is negative which makes the answer imaginary, so..

Answer 7

it doesn't

also the answer is \(\tan(x)\)