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3 years ago

What is the integral of a square root? Please explain.

Mathematics

2 answers:

dolphi86 [110]3 years ago

6 0

Its not guaranteed to be same form.it could be any polynomial that can not be easily formed into squares .try one out!

IrinaK [193]3 years ago

5 0

If y = xⁿ

∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.

y = √x

y = x^(0.5)

∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)

∫y dx = (2/3) x^(1.5) + C.

∫y dx = (2/3) x^(3/2) + C.

∫y dx = (2/3)√x³ + C

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$\large\underline{\sf{Solution-}}$

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