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I.B.P Derivation [Integration By Parts]
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2nd/3ways: trig integral β«sec(x) dx
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MP 8,93,96,97,99 Hindustan: Evaluate β« sec(x)/(sec(x)-tan(x)) dx
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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2 ways: sq root derivative 1/(ββ(1/βx))
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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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trig Write each expression as an equivalent algebraic expression involving only x.
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A bag contains 20 identical red marbles, 20 identical green marbles, & 20 identical blue marbles.
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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
3rd/3 ways: Express (4x-17)/((x+4)(2x-3)) in partial fractions via withOUT cover rule
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Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
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#16 MIT 2022 Integration Bee Qualifying Exam
STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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Alternate way: trig integral β«cot(x) csc^6(x) dx ... just in 1 line.
2nd Alternate trig β«integral sin(x) dx
trig integral cos^2(x) sin(x) dx
2 ways: trig integral β«tan(x)/sec^5(x) dx
Alternate way: trig integral β«cos(x) dx