Anyone in calculus , where does the fraction in the integral even come from? i've tried to wrap my head around it but it doesnt even make sense nor when i look up on google ( where does fraction behind integral sign come from) get no results\. define where 1/3 is derived from:

{integral sign} x^2*e^x^3 = 1/3 {integral sign} e^x^3*(3x^2) dx = 1/3*e^x^3 + c

Step-by-step explanation:

You know that the derivative of e^u is e^u·du.

When u = x^3, du = 3x^2·dx. This means x^2·dx = (1/3)·du.

So your integral is ...

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

757764

step-by-step explanation:

de77737dd