for this question i wanted to know if i need to find C when integrating, i checked the marking scheme and it showed C but they never found C in the answer.
for this question i wanted to know if i need to find C when integrating, i checked the marking scheme and it showed C but they never found C in the answer.
You use +c when you're integrating without limits and you don't use +c when you are integrating with limits.
This makes, sense, because if you want to integrate something between limits, you do ∫12xdx, this gets you (let's include the constant to show you why it's useless):
[2x2+c]12=222+c−212−c=24−1
that is, when there are limits, the constants will always cancel, so you don't need to put them there in the first place.
for this question i wanted to know if i need to find C when integrating, i checked the marking scheme and it showed C but they never found C in the answer.
You use +c when you're integrating without limits and you don't use +c when you are integrating with limits.
This makes, sense, because if you want to integrate something between limits, you do ∫12xdx, this gets you (let's include the constant to show you why it's useless):
[2x2+c]12=222+c−212−c=24−1
that is, when there are limits, the constants will always cancel, so you don't need to put them there in the first place.
You use +c when you're integrating without limits and you don't use +c when you are integrating with limits.
This makes, sense, because if you want to integrate something between limits, you do ∫12xdx, this gets you (let's include the constant to show you why it's useless):
[2x2+c]12=222+c−212−c=24−1
that is, when there are limits, the constants will always cancel, so you don't need to put them there in the first place.
one more thing, these types of questions with a limit are always integration?
in questions how do i identify if i must differentiate or integrate?
Every question will tell you, in one way or another.
Typically, if you need to find a gradient, you differentiate, if you need to find an area, you integrate.
The big, elongated 'S' looking thing means you need to integrate. If you see something like d/dx or f'(x) (after being given f(x)) you need to differentiate, in general.