Simple definite integral

[worthy lake]

can someone help me with the steps on how to solve this integral?

[burnt flint]

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[worthy lake]

this is what i got

[lethal swift]

square 60

come on pussy

do it

[lethal swift]

also distribute. Idk if its right... it looks right. But i dont like how many steps you skipped

[honest spade]

technically we do not know if the x being integrated is the outer x or the x of the dx
so this could just be integral of a constant
(x-60)/(-0.4x^3)

[lethal swift]

oh yeaaaah

[worthy lake]

I checked with the textbook but i don't have a -1/2 and was confused on where it came from. Can you guys help me out?

[honest spade]

the antiderivative of $x^a$ is $\frac{1}{a+1}x^{a+1}$
in this case, $a = -3$ so $\frac{1}{-2} x^{-2}$

[lost mist]

cute rizzly bear (nom nom nom)

[worthy lake]

oh

thanks

[slender niche]

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[honest spade]

you do +close

[worthy lake]

+close

[burnt flint]

✅ Post closed