Integral Worksheets
Solve the following integrals:
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12 
1
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2
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3
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4
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5



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Equal the coefficients of the two members.


The first integral is of logarithmic type and the second has to be broken in two.
Multiply by 2 in the second integral.
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The 2 in the numerator of the second integral transforms into 1 + 1.
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Decompose the second integral into two others.
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Solve the first two integrals.
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Transform the denominator of a squared binomial.

Multiply the numerator and denominator by 4/3, to obtain one in the denominator.
Under the squared binomial, multiply by the square root of 4/3.


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6
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Add and subtract 3 in the numerator, decompose into two fractions and in the first one remove common factor 3.
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Multiply and divide in the first fraction by 2.
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Transform the denominator of a squared binomial.


Realize a change of variable.
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7
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8

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10
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11
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12

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