SOLUTION: By a change of variables, determine the indefinite integral as follows: integral (x^2 - 3x^4)^1/2 dx The answer is supposed to be: (- (1

SOLUTION: By a change of variables, determine the indefinite integral as follows: integral (x^2 - 3x^4)^1/2 dx The answer is supposed to be: (- (1 - 3x^2)^3/2) / 9 help me please

Question 565519: By a change of variables, determine the indefinite integral as follows:
integral (x^2 - 3x^4)^1/2 dx
The answer is supposed to be: (- (1 - 3x^2)^3/2) / 9
help me please
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
By a change of variables, determine the indefinite integral as follows:
integral (x^2 - 3x^4)^1/2 dx
=====================================
The integrand can be factored as:

Let
Then
So the integral can be written as

The antiderivative of
Substituting back the expression for y gives

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