Find the integral of 2 x <mrow class="MJX-TeXAtom-ORD"> 2 </mrow> </msup>

Daphne Fry

Daphne Fry

Answered question

2022-05-07

Find the integral of 2 x 2  2 x 2 with respect to x.

Answer & Explanation

Adeline Shah

Adeline Shah

Beginner2022-05-08Added 18 answers

Split the single integral into multiple integrals.

2x2dx+-2xdx+-2dx

Since 2 is constant with respect to x, move 2 out of the integral.

2x2dx+-2xdx+-2dx

By the Power Rule, the integral of x2 with respect to x is 13x3.

2(13x3+C)+-2xdx+-2dx

Since -2 is constant with respect to x, move -2 out of the integral.

2(13x3+C)-2xdx+-2dx

By the Power Rule, the integral of x with respect to x is12x2.

2(13x3+C)-2(12x2+C)+-2dx

Apply the constant rule.

2(13x3+C)-2(12x2+C)-2x+C

Simplify.

23x3-x2-2x+C

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