Question

F(X)= integral from sqrtx to 2 x Tan^-1 t dt...
Please example steps thanks

Answer 1

\[F(x)=\int_{\sqrt{x}}^{2x} \arctan (t) \ \text{d}t\]

Answer 2

what do u want to do with this function?

Answer 3

Im trying to solve the problem

Answer 4

im not sure the first step of this equation

Answer 5

use integration by parts

Answer 6

such as...

Answer 7

i completely forgot Calcu i took it years ago and im trying to remember

Answer 8

1 . arctan(t)......assume u= arctan(t) and v=1

Answer 9

wait where v=1 come from?

Answer 10

is v the derivates of arctant?

Answer 11

\[\int\limits_{a}^{b} uv dx = u \int\limits vdx - \int\limits (du/dx) \int\limits (vdx) dx\]

Answer 12

here u= arctan(t) and v=1

Answer 13

it makes sense to u?

Answer 14

im not understanding where v=1 came from i understand the formula but unsure of v=1

Answer 15

integrand was arctan(t)...if we multiply it by one our integrand wont change

Answer 16

we multiplied the integrand by one for using the integration by parts...

Answer 17

ok...i think i understand

Answer 18

and after integration...put the limits

Answer 19

so this would work like chain rule

Answer 20

yes u can say that...

Answer 21

ok but im trying to compute the equations into the steps...

Answer 22

look for Bernoulli's theorem...

Answer 23

ok