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How would you integrate this...

Hi there

I have the equation y = 2 + √2√x

Does the √2√x mean 2 to the power of 1/2 multiplied by x to the power of 1/2??

And how do I integrate the equation??
Reply 1
Avatar for roar558
roar558
11
Yes, you integrate it as normal if for example
dy/dx=4x^(1/3)
y=3x^(4/3)
Reply 2
Avatar for jackie11
jackie11
OP
4
so is y = 2 + √2√x;

y = 2 + 2^(1/2)x^(1/2)

then integrate: 2x + (2^(3/2)/(3/2) X x^(3/2)/(3/2))
Reply 3
Avatar for roar558
roar558
11
Original post by jackie11
so is y = 2 + √2√x;

y = 2 + 2^(1/2)x^(1/2)

then integrate: 2x + (2^(3/2)/(3/2) X x^(3/2)/(3/2))


Almost but not quite. Integration is with respect to x ie you shouldn't integrate sqrt2 as it's just a coefficient of x^1/2.
Reply 4
Avatar for jackie11
jackie11
OP
4
oh yeah, silly me, you got me haha,

Thank you :smile:

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