What is the substitution for integrating $$\sqrt[]{67-34x^2}$$ ?

Use the substitution $$x=a\sin\theta$$ .

What is the trig substitution for $$\sqrt[]{37+9x^2}$$ ?

Use the substitution $$x=\frac{\sqrt[]{37}}{3}\tan\theta$$ .

What is the formula for the area of a circle in polar coordinates?

The area is given by $$A=\frac{1}{2}\int_{\theta_1}^{\theta_2} r^2 d\theta$$ .

What is the relationship between polar and rectangular coordinates?

The relationships are $$x=r\cos(\theta)$$ and $$y=r\sin(\theta)$$ .

What is the integral of $$\sin(x)$$ ?

The integral is $$-\cos(x) + C$$ .

What is the integral of $$\cos(x)$$ ?

The integral is $$\sin(x) + C$$ .

What is the derivative of $$\ln(x)$$ ?

The derivative is $$\frac{1}{x}$$ .

What is the definition of a limit?

A limit is the value that a function approaches as the input approaches some value.

FINALLL

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Mathematics

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University

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Hard

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CCSS

HSN.CN.B.4, HSF.TF.C.8, HSF.TF.A.4

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