What is the integral from-4 to-2 of 5/((x+3)^6) ?

The integral from-4 to-2 of 5/((x+3)^6) is 5Does not exist-1-1-5Does not exist

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integral from-4 to-2 of 5/((x+3)^6)

\int_{- 4}^{- 2} \frac{5}{( x + 3 ) ^{6}} d x

5 Does not exist - 1 - 1 - 5 Does not exist

Solution steps

\int_{- 4}^{- 2} \frac{5}{( x + 3 ) ^{6}} d x

Adjust integral based on undefined pointsThere is an undefined point within the boundaries at

: - 3

= \int_{- 4}^{- 3} \frac{5}{( x + 3 ) ^{6}} d x + \int_{- 3}^{- 2} \frac{5}{( x + 3 ) ^{6}} d x

\int_{- 4}^{- 3} \frac{5}{( x + 3 ) ^{6}} d x = 5

Does not exist

- 1

= 5 Does not exist - 1 + \int_{- 3}^{- 2} \frac{5}{( x + 3 ) ^{6}} d x

\int_{- 3}^{- 2} \frac{5}{( x + 3 ) ^{6}} d x = - 1 - 5

Does not exist

= 5 Does not exist - 1 - 1 - 5 Does not exist

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What is the integral from-4 to-2 of 5/((x+3)^6) ?
The integral from-4 to-2 of 5/((x+3)^6) is 5Does not exist-1-1-5Does not exist