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Additional definite integral testing #659

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Happypig375 merged 1 commit into from
Jan 21, 2026
Merged

Additional definite integral testing #659

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25 changes: 14 additions & 11 deletions Sources/Tests/UnitTests/Calculus/IntegrationTest.cs
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Original file line number Diff line number Diff line change
Expand Up @@ -15,26 +15,27 @@ public sealed class IntegrationTest
{
// TODO: add more tests
[Theory]
[InlineData("2x", "x2 + C")]
[InlineData("x2", "(1/3) * x3 + C")]
[InlineData("x2 + x", "(1/3) * x3 + (1/2) * x2 + C")]
[InlineData("x2 - x", "1/3 * x ^ 3 - 1/2 * x ^ 2 + C")]
[InlineData("a / x", "ln(abs(x)) * a + C")]
[InlineData("2x", "C + x ^ 2")]
[InlineData("x2", "x ^ 3 / 3 + C")]
[InlineData("x2 + x", "x ^ 3 / 3 + x ^ 2 / 2 + C")]
[InlineData("x2 - x", "x ^ 3 / 3 - x ^ 2 / 2 + C")]
[InlineData("a / x", "a * ln(abs(x)) + C")]
[InlineData("x cos(x)", "cos(x) + sin(x) * x + C")]
[InlineData("sin(x)cos(x)", "sin(x) ^ 2 / 2 + C")]
[InlineData("ln(x)", "x * (ln(x) - 1) + C")]
[InlineData("log(a, x)", "x * (ln(x) - 1) / ln(a) + C")]
[InlineData("e ^ x", "e ^ x + C")]
[InlineData("log(a, x)", "C + x * (ln(x) - 1) / ln(a)")]
[InlineData("e ^ x", "C + e ^ x")]
[InlineData("a ^ x", "a ^ x / ln(a) + C")]
[InlineData("sec(a x + b)", "1/2 * ln((1 + sin(a x + b)) / (1 - sin(a x + b))) / a + C")]
[InlineData("csc(a x + b)", "ln(abs(tan(1/2(a x + b)))) / a + C")]
[InlineData("C", "C x + C_1")]
[InlineData("C C_1", "C C_1 x + C_2")]
[InlineData("sec(a x + b)", "1/2 * ln((1 + sin(a * x + b)) / (1 - sin(a * x + b))) / a + C")]
[InlineData("csc(a x + b)", "ln(abs(tan((a * x + b) / 2))) / a + C")]
[InlineData("C", "C_1 + C * x")]
[InlineData("C C_1", "C_2 + C * C_1 * x")]
[InlineData("integral(x, x)", "C_1 + C * x + x ^ 3 / 6")]
[InlineData("e^e^x", "integral(e ^ e ^ x, x)")] // don't recurse infinitely
public void TestIndefinite(string initial, string expected)
{
Assert.Equal(MathS.Boolean.True, initial.Integrate("x").EqualTo(expected).Simplify());
Assert.Equal(expected, MathS.Integral(initial, "x").Simplify().Stringize());
}
[Theory]
[InlineData("2x * e ^ (x2)", "e ^ (x2) + C")]
Expand Down Expand Up @@ -200,9 +201,11 @@ public void TestHighPowerSubstitution(string initial, string expected)
[InlineData("sin(x)", "-1", "1", "0")]
[InlineData("cos(x)", "0", "pi", "0")]
[InlineData("1/(x^2+1)", "-oo", "+oo", "pi")]
[InlineData("e^e^x", "0", "1", "integral(e ^ e ^ x, x, 0, 1)")] // don't recurse infinitely
public void TestDefinite(string initial, string from, string to, string expected)
{
Assert.Equal(expected, initial.Integrate("x", from, to).Simplify().Stringize());
Assert.Equal(expected, MathS.Integral(initial, "x", from, to).Simplify().Stringize());
}

[Theory] // TODO: Some of these results can be further simplified, e.g. (4 + 2 * x) / 2
Expand Down
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