Determine if the improper integral is convergent or divergent, and calculate its value if it is convergent. integral^ infinity_ 0 14 e^ -7 x dx Calculate the value of the improper integral. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. integral^ infinity_ 0 14 e^ - 7x dx The improper integral diverges.

The improper integral is converges.

the value of the improper integral is 0.02

Step-by-step explanation:

Explanation:-

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

8

step-by-step explanation: