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Determine the number represented by the expression: integral_-4^(-1)((1/x^2)-(1/x^4))dx?
integral_-4^(-1)((1/x^2)-(1/x^4))dx
2 Answers
- 9 years agoFavorite Answer
integral_-4^(-1)((1/x^2)-(1/x^4))dx=integral_-4^(-1)((1/x^2)dx- integral_-4^(-1)(1/x^4))dx
=(-1/x)-(-1/(3(x^3))) evaluated from -4 to -1 [ integral of 1/X^2 = -1/x and integral of 1/X^4 is -1/(3x^3)]
=(-3x^2+1)/(3x^3) evaluated from -4 to -1 [LCD, simplify]
=27/64 [plug in x=-1 and x=-4 , then subtract]
