The phrase 'ease my task' is correct and usable in written English
You could use it when you are referring to something that makes a task or job easier. For example, "The new app is designed to ease my task of tracking customer transactions."
The charge nurse has sent me away for a deep breath and cold water on my face, and I have returned to a fellow nurse compiling my notes to ease to overwhelming task of documenting the precipitating events in time to accept my next patient.
Drill pilot holes to ease the task.
Local knowledge from a paid correspondent can ease the task.
Eager to ease their task, I gave the editors maximum latitude in how they defined "best," "American" and "20th century".
And as a side-effect, it should ease the task of paying the health bills of all those older people.
To ease the task, Mr. Petrov's Canadian producers provided him with a specially designed computerized animation stand that allowed him to see previous frames as he worked.
HDMI To ease the task of connecting DVD players, set-top boxes, game consoles and audio receivers to an HDTV, the industry has adopted a standard called HDMI.
The researchers are looking into staining techniques that pick up on chlorophyll present in still-living phytoplankton to try and ease the task.
While the engine and fuel were experimental, the engineers tried to use as many production parts as possible to keep costs down and to ease the task of possibly putting the car into production.
The new Keynote program, for which Mr. Jobs -- who draws a salary of $1 a year -- said he had worked as a "low paid" tester for the last year, includes a number of features to ease the task of making graphic presentations.
