Trap 1: Applying FTC Across Discontinuities integral(-1,1) 1/$x^2$ dx is NOT -2. The function has a non-integrable singularity at x=0. Always check for discontinuities within [a,b] before using FTC.

Trap 2: Wrong King's Rule Formula integral(a,b) f(x)dx = integral(a,b) f(a+b-x)dx, NOT f(b-x). When a=0, both are the same, but for general a, use a+b-x.

Trap 3: Wallis Factor Confusion Even n: ends with pi/2 factor. Odd n: ends with factor 1. Mixing these up is the most common Wallis error.

Trap 4: Not Changing Limits in Substitution When u = g(x), the limits must change to g(a) and g(b). Keeping x-limits is wrong.

Trap 5: Period of Squared Trig Functions $sin^2$(x) has period pi (not 2pi). |sin x| also has period pi. These half-periods significantly affect calculations.

Trap 6: Even/Odd Misidentification $e^x$ is NEITHER even nor odd. xe^($x^2$) looks complicated but is odd (check: f(-x) = -xe^($x^2$) = -f(x)). Always verify by computing f(-x).

Trap 7: Signed vs Unsigned Area integral(0 to 2pi) sin x dx = 0 (signed area), but integral(0 to 2pi) |sin x| dx = 4 (unsigned area). The question wording determines which is needed.