Integrate -1/sqrt(x+1) dx

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Do I substitute here?

Guest Oct 20, 2014

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Best Answer

I wouldn't substitute.

If you started with -2(x + 1) ^ (1/2) and differentiated that expression,

you would have: (1/2)(-2)(x + 1) ^ (-1/2)·1 = -1(x + 1)^(-1/2).

Just do an antiderivative of a polynomial-type expression to get -2(x + 1) ^ (1/2).

geno3141 Oct 20, 2014

geno3141 · Answer 1 · 2014-10-20T09:16:59

I wouldn't substitute.

If you started with -2(x + 1) ^ (1/2) and differentiated that expression,

you would have: (1/2)(-2)(x + 1) ^ (-1/2)·1 = -1(x + 1)^(-1/2).

Just do an antiderivative of a polynomial-type expression to get -2(x + 1) ^ (1/2).