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

daniko883y

daniko883y

Answered question

2022-10-01

Use a table of integrals to evaluate the following integrals. x 2 e 5 x d x

Answer & Explanation

Garrett Valenzuela

Garrett Valenzuela

Beginner2022-10-02Added 9 answers

From the Table of Integrals:
x 2 e a x d x = ( x 2 a 2 x a 2 + 2 a 3 ) e a x + C
Therefore:
x 2 e 5 x d x = ( x 2 5 2 x 25 + 2 125 ) e 5 x + C
Result:
( x 2 5 2 x 25 + 2 125 ) e 5 x + C

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