📐 Mathematics · Chapter-Wise Mock Test
~4 questions per paper · 14% Mathematics weightage
∫uv dx = u∫v - ∫(u'∫v)∫₀^a f(x)dx = ∫₀^a f(a-x)dxArea = ∫|f(x)-g(x)|dxdy/dx = f(x,y)Integration by parts (LIATE rule), substitution for trigonometric integrals, partial fractions for rational functions, property ∫₀^a f(x) = ∫₀^a f(a-x) (King property), and Definite Integral using limits of sum all appear regularly.
Identify the type: variable separable (most common), linear DE (dy/dx + Py = Q form), and homogeneous DE (y/x substitution). For JEE Main, variable separable and linear DEs appear most. Exact differential forms also appear occasionally.
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