# Chapter 19: Integration 2 Flashcards

## Improper Integrals, Inverse Trigonometric Functions, Hyperbolic Functions, Partial Fractions, Reduction Formulae, Polar graphs and areas, and Lengths and Surface Areas. This is by far the meatiest calculus topic you've ever seen...

1

Q

Differentiate sinhx, coshx and tanhx with respect to x.

A

2

Q

Define the Area of a Polar Graph.

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3

Q

Differentiate reciprocal hyperbolic functions.

A

4

Q

Integrate sinhx and coshx using the fundamental theorem of calculus.

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5

Q

Integrate tanhx.

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6

Q

Define sin2A as a compound angle formula.

A

7

Q

Define cos2A as the 3 compound angle formulae.

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8

Q

Define tan2A as a compound angle formula.

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9

Q

Define cos²A and sin²A as compound angle formulae.

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10

Q

Derive the inverse hyperbolics arccoshx and arcsinhx.

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11

Q

State the standard substitutions for integratings (using arcsinhx and arccoshx).

A