Chapter 19: Integration 2

Question 1

Differentiate sinhx, coshx and tanhx with respect to x.

Answer 1

Question 2

Define the Area of a Polar Graph.

Answer 2

Question 3

Differentiate reciprocal hyperbolic functions.

Answer 3

Question 4

Integrate sinhx and coshx using the fundamental theorem of calculus.

Answer 4

Question 5

Integrate tanhx.

Answer 5

Question 6

Define sin2A as a compound angle formula.

Answer 6

Question 7

Define cos2A as the 3 compound angle formulae.

Answer 7

Question 8

Define tan2A as a compound angle formula.

Answer 8

Question 9

Define cos²A and sin²A as compound angle formulae.

Answer 9

Question 10

Derive the inverse hyperbolics arccoshx and arcsinhx.

Answer 10

Question 11

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

Answer 11