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10 cards from this deck
Integration requiring less obvious substitutions where you must recognize patterns (e.g., spotting derivative of inner function)
Derivative of inner function present in integrand
13(1+x2)32+C\frac{1}{3} (1 + x^2)^{\frac{3}{2}} + C31(1+x2)23+C
u=1+cos(2x)u = 1 + \cos(2x)u=1+cos(2x)
−12ln∣1+cos(2x)∣+C-\frac{1}{2} \ln |1 + \cos(2x)| + C−21ln∣1+cos(2x)∣+C
u=x2u = x^2u=x2
12ex2+C\frac{1}{2} e^{x^2} + C21ex2+C
u=ln(x)u = \ln(x)u=ln(x)
(ln(x))22+C\frac{(\ln(x))^2}{2} + C2(ln(x))2+C
sec2(θ)\sec^2(\theta)sec2(θ)
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