Self-Study Worksheet · 20 Problems

Integration &
Differential Equations

Build from zero — antiderivatives, separation of variables, initial value problems. Every question is multiple choice. Pick your answer and get instant feedback with full explanation.

⚡ Core Memory Points

ANTI-POWER ∫xⁿ dx = xⁿ⁺¹/(n+1) + C
Add 1 to exponent, divide by it.

TRIG-FLIP ∫sin(ax) dx = −cos(ax)/a + C
Divide by the inner coefficient.

EXP-SAME ∫eˣ dx = eˣ + C
Exponential stays itself.

SEPARATE dy/dx = f(x)g(y) → move y's left, x's right, integrate both sides.

PLUG-IN Initial condition → substitute x, y values after integrating to find C.

CHAIN-DIVIDE ∫f(ax+b) dx → result/a
Always divide by the inner coefficient.

Integration &Differential Equations

⚡ Core Memory Points

Worksheet Complete 🎉

Integration &
Differential Equations