Basic calculus

[summer badge]

Guys I need help regarding this question Im still having a hard time understanding the process

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[summer badge]

If I'm not mistaken this topic is covered on Anti-Derivative

[onyx heath]

Notice that you can simplify 1. with a trig identity. 2. can be solved with a u-sub.

[summer badge]

All I need to do for number 1 is just to simplify it right?

[onyx heath]

Yeah

There's a simple antiderivative after the simplification

[summer badge]

The number 2 process seems like it's going to be long or not?

[onyx heath]

Won't be too long

You know u-sub?

[summer badge]

Is the answer for number 1 tan∅+C?

[onyx heath]

(I mean, if you want you can also expand it)

[onyx heath]

Yeah

[summer badge]

I see Thanks for the help

[summer badge]

Oh so that's just it?

In the u substitution I need to find the u in the given problem right?

[onyx heath]

Yeah

[onyx heath]

Yes

[summer badge]

I wasn't sure in the first place I answered it I was doubting myself

[summer badge]

I see Thankyou

[cobalt spoke]

In second one when u u sub u get 1/2 * integrate t^2 dt

Then it's the normal rule

T^3/3 + c

Remember to replace back t

[summer badge]

I didn't notice your reply, I see thanks for the info btw my final answer is

(x²+1)³/6+C is it right?

[onyx heath]

Yeah

[summer badge]

Thankyou for the help

[azure epoch]

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