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Jaylene Duarte 2022-04-04 Answered
What is ( t 4 2 t 3 1 )  d t?
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Answers (1)

Taniya Wood
Answered 2022-04-05 Author has 19 answers

Remove parentheses.

t4-2t3-1dt

Split the single integral into multiple integrals.

t4dt+-2t3dt+-1dt

By the Power Rule, the integral of t4 with respect to t is 15t5.

15t5+C+-2t3dt+-1dt

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

15t5+C-2t3dt+-1dt

By the Power Rule, the integral of t3 with respect to t is 14t4.

15t5+C-2(14t4+C)+-1dt

Apply the constant rule.

15t5+C-2(14t4+C)-t+C

Simplify.

t55-t42-t+C

Reorder terms.

15t5-12t4-t+C

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