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Problem-solving strategies for numerical integration in numerical methods
Passed 21 of 22 test cases with the skill, and 19 of 22 without it.
2 fixed19 passed either way1 still failing0 broke
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One of 2 test cases the skill fixed. Same model, same prompt, with and without the skill.
I want to run the runtime harness CLI script `scripts/sympy_compute.py` to symbolically integrate sin(x) from 0 to pi for exact verification. What argument structure specifies the command, target variable, and limits?
| Checked | Without skill | With skill |
|---|---|---|
| Uses the integrate subcommand in the harness invocation. | Passed | Passed |
| Specifies integration variable and bounds via --var, --from, and --to options. | Missed | Passed |
The instructions your model reads when the skill loads.
Use this skill when working on numerical-integration problems in numerical methods.
Identify Integral Type
Select Quadrature Method
scipy.integrate.quad(f, a, b) for general 1DAdaptive Integration
scipy.integrate.quad(f, a, b, epsabs=1e-8, epsrel=1e-8)Multiple Dimensions
scipy.integrate.dblquad for 2Dscipy.integrate.tplquad for 3DVerify Accuracy
sympy_compute.py integrate "f(x)" --var x --from a --to btest cases passed, vs 19 / 22 without
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