Question

any math expert online help plz

Evalute:-
∫(x²-1/x²+1) dx ​

Answer 1

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Algebra Examples

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Algebra

 

Simplify (x^2-1)(x^2+1)

(x2−1)(x2+1)(x2-1)(x2+1)

Expand (x2−1)(x2+1)(x2-1)(x2+1) using the FOIL Method.

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Apply the distributive property.

x2(x2+1)−1(x2+1)x2(x2+1)-1(x2+1)

Apply the distributive property.

x2x2+x2⋅1−1(x2+1)x2x2+x2⋅1-1(x2+1)

Apply the distributive property.

x2x2+x2⋅1+(−1x2−1⋅1)x2x2+x2⋅1+(-1x2-1⋅1)

Remove parentheses.

x2x2+x2⋅1−1x2−1⋅1x2x2+x2⋅1-1x2-1⋅1

Simplify and combine like terms.

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Simplify each term.

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x4+x2−x2−1x4+x2-x2-1

Subtract x2x2 from x2x2.

x4+0−1x4+0-1

Add x4x4 and 00.

x4−1

Answer 2

Answer:

Step-by-step explanation:

=x^2 - 1/x^2 +1

=(x+1)(x-1)/(x+1)^2 - 2x

=(x+1)(x-1)/(x+1)(x+1)-2x

=x-1/x+1-2x

=x-1/-x+1

=x-1/-(x-1)

=1-x/x-1 (ans)