Find the integral of 2

britesoulusjhq

britesoulusjhq

Answered question

2022-05-07

Find the integral of 2 t 5 + t + 3 with respect to t.

Answer & Explanation

hi3c4a2nvrgzb

hi3c4a2nvrgzb

Beginner2022-05-08Added 15 answers

Split the single integral into multiple integrals.

2t5dt+tdt+3dt

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

2t5dt+tdt+3dt

By the Power Rule, the integral of t5 with respect to t is 16t6.

2(16t6+C)+tdt+3dt

By the Power Rule, the integral of t with respect to t is 12t2.

2(16t6+C)+12t2+C+3dt

Combine 16 and t6.

2(t66+C)+12t2+C+3dt

Apply the constant rule.

2(t66+C)+12t2+C+3t+C

Simplify.

13t6+12t2+3t+C

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