little integral help

[cosmic wasp]

Q no 108

[supple nacelle]

,tex $$f(x) = \int_{x}^{2} \frac {1}{ \sqrt[2]{1 + y^3}}$$

$$\int_{0}^{2} x f(x) dx = 1$$

[placid night]

@supple nacelle

[loud gull]

Use property four

[supple nacelle]

whats property foru

[loud gull]

Int from 0 to a f(x)= int from 0 to a f(a-x)

[cosmic wasp]

Ohhh

Yeah thanks

Never thought of using that property because of the bad looking limits lol

Can you help in another one

Q 114

This is my working

If you understand my bad handwriting

I can't integrate after the last step

[loud gull]

If it is in the form of sin and cos with bad powers always take tanx as variable

Let me show you

[cosmic wasp]

Oh yeah

But is my working correct?

[loud gull]

t^-2/5 will be cosx.

[cosmic wasp]

No wait its wrong

,rotate

[cosmic wasp]

,rotate

[cosmic wasp]

Yo wtf

That is soo good lmao

I just wasted all my time doing my ugly shit

[loud gull]

In your working you put sin^-5/2 wrong

[hollow anchor]

Why it’s this I? I m curious

[loud gull]

Check your variable there

[loud gull]

It’s will be some value so I called it I and manipulated to form another integral having the same value and added them to simplify

[hollow anchor]

Ah ok thanks

[loud gull]

It should be (1-t^-4/3)^1/2

[cosmic wasp]

Nah mine is not solvable further I think

[loud gull]

It is tricky

To solve that

[cosmic wasp]

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