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#17 2012 MIT Integration Bee Qualifying Exam

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UN-Rev 1 Mat dia 2 (pt-2)
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UN-Rev 1 Mat dia 2 (pt-2)

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx
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2nd/3ways: trig integral ∫sec(x) dx

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Review: Linear form, Quadratic form & Bilinear form
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Review: Linear form, Quadratic form & Bilinear form

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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trig Write each expression as an equivalent algebraic expression involving only x.
1:56

trig Write each expression as an equivalent algebraic expression involving only x.

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2 ways: sq root derivative 1/(√√(1/√x))
7:33

2 ways: sq root derivative 1/(√√(1/√x))

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
2:30

1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...
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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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UN-Rev 1 Mat dia 2 (pt-3)
45:48

UN-Rev 1 Mat dia 2 (pt-3)

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Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions
5:59

Ex11.6 STPM Math T Sem.2 Find the fir st 4 terms in the expansion of the following functions

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expon directive a^f(x)
4:41

expon directive a^f(x)

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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
3:28

A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.

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STPM Math T Sem2 Ex11.3 Find the first four terms in the Maclaurin series ...
2:36

STPM Math T Sem2 Ex11.3 Find the first four terms in the Maclaurin series ...

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4th/4parts: Maclaurin Series [ahp kia]
8:07

4th/4parts: Maclaurin Series [ahp kia]

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1st/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
3:03

1st/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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Show that ar sinh(x) = ln(x + √ (x^2+1))
4:20

Show that ar sinh(x) = ln(x + √ (x^2+1))

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2 ways: sq root √x^x
2:31

2 ways: sq root √x^x

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