Integrate <mrow> 2 <msqrt> sin −

lifretatox8n

lifretatox8n

Answered question

2022-04-10

Integrate 2 sin 1 ( 6 t ) 3 1 36 t 2 with respect to t.

Answer & Explanation

Ayaan Gonzalez

Ayaan Gonzalez

Beginner2022-04-11Added 15 answers

Simplify the denominator.

2sin-1(6t)3(1+6t)(1-6t)

Multiply 2sin-1(6t)3(1+6t)(1-6t) by (1+6t)(1-6t)(1+6t)(1-6t).

2sin-1(6t)3(1+6t)(1-6t)(1+6t)(1-6t)(1+6t)(1-6t)

Combine and simplify the denominator.

2sin-1(6t)(1+6t)(1-6t)3((1+6t)(1-6t))

Combine using the product rule for radicals.

2(1+6t)(1-6t)sin-1(6t)3(1+6t)(1-6t)

Reorder factors in 2(1+6t)(1-6t)sin-1(6t)3(1+6t)(1-6t).

2sin-1(6t)(1+6t)(1-6t)3(1+6t)(1-6t)
 

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