What is #int_1^oo 1/x^3-sinx/x^3 dx#?
1 Answer
Jan 16, 2017
# int_0^oo 1/x^3 - (sinx)/x^3 dx = 0.1215# (4dp)
Explanation:
graph{1/x^3 - (sinx)/x^3 [-3, 8, -2, 2]}
From the graph it would appear that the improper integral does converge. However the integrand does not have an elementary anti-derivative.
Numerical methods can be used to evaluate the integral which has the value:
# int_0^oo 1/x^3 - (sinx)/x^3 dx = 0.12146998 ...#
