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10 questions from this quiz
x=asinθx = a \sin \thetax=asinθ
x=asecθx = a \sec \thetax=asecθ
x=atanθx = a \tan \thetax=atanθ
asecθtanθ dθa \sec \theta \tan \theta \, d\thetaasecθtanθdθ
sin2θ+cos2θ=1\sin^2 \theta + \cos^2 \theta = 1sin2θ+cos2θ=1
2cosθ2\cos \theta2cosθ
1aarctan(xa)+C\frac{1}{a} \arctan\left(\frac{x}{a}\right) + Ca1arctan(ax)+C
Forgetting to replace dxdxdx correctly
arcsin(xa)+C\arcsin\left(\frac{x}{a}\right) + Carcsin(ax)+C
ln∣secθ+tanθ∣+C\ln|\sec \theta + \tan \theta| + Cln∣secθ+tanθ∣+C
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