Question

Calculus Help?

Answer 1

@zepdrix @ParthKohli

Answer 2

do you know derivatives?

Answer 3

yep

Answer 4

then what is 3(20)z^3-1=?

Answer 5

if we multiply both sides by \(dz\), we get:
\[\huge dT = 20{z^3}dz\]

Answer 6

you want me to find the derivative of that?

Answer 7

ok

Answer 8

60z^2+c

Answer 9

now, please compute the integral of both sides. We can integrate the right sides using this rule:
\[\huge \int {{z^n}dz} = \frac{{{z^{n + 1}}}}{{n + 1}} + k,\quad k \in \mathbb{R}\]

Answer 10

I don't want the answer I want n explanation of how to do it.

Answer 11

right side*

Answer 12

whereas for left side, we have:
\[\huge \int {dT} = T\]

Answer 13

@Michele_Laino ur doing differentiation