C4 Flashcards

1
Q

What is the integral of Sinx

A

-cosx+c

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2
Q

What is the integral of cosx

A

sinx+c

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3
Q

What is the integral of tanx

A

ln[secx]+c

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4
Q

What is a unit vector

A

The modulus of a vector

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5
Q

How to add vectors

A

Triangle rule

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6
Q

What can the binomial expansion be given as

A

1+nx+[n(n-1)x²]/2! + [n(n-1)(n-2)x^3]/3!

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7
Q

What is the integral of sec²x

A

tanx+c

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8
Q

What is the integral of cosecxcotx

A

-cosecx+c

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9
Q

What is the integral of cosec²x

A

-cotx+c

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10
Q

What is the integral of secxtanx

A

secx+c

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11
Q

What is the integral of cos(ax+b)

A

1/a sin(ax+b)+c

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12
Q

What is the integral of cosecx

A

-ln[cosecx+cotx}+c

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13
Q

What is the integral of cotx

A

ln[sinx]+c

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14
Q

What is the integral of secx

A

ln[secx+tanx]+c

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15
Q

How do you find the area of a curve given parametrically

A

∫y dy/dx

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16
Q

What is the integral of sin kx

A

1/k cos kx + c

17
Q

What is the integral of sec²kx

A

1/k tan kx + c

18
Q

How to work out volume using integration

A

∫ π y²dx

19
Q

If a = xi + yj + zk, what is the unit vector

A

[(xi + yj + zk) ÷ √(x² + y + z²)