Use a table of integrals to evaluate the following integrals. int x(2x+3)^5 dx

Sara Fleming

Sara Fleming

Answered question

2022-09-19

Use a table of integrals to evaluate the following integrals. x ( 2 x + 3 ) 5 d x

Answer & Explanation

kregde84

kregde84

Beginner2022-09-20Added 10 answers

In order to solve the given integral, we will use the folowing formula:
x ( A x + B ) u d x = ( A x + B ) n + 1 ( A ( n + 1 ) x B ) A 2 ( n + 1 ) ( n + 2 ) + C
x ( 2 x + 3 ) 5 d x = ( 2 x + 3 ) 6 ( 2 ( 5 x + 1 ) x 3 ) 2 2 ( 5 + 1 ) ( 5 + 2 ) = 4 x 1 56 ( 2 x + 3 ) 6 + C
Result:
= 4 x 1 56 ( 2 x + 3 ) 6 + C

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