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#5 MIT 2022 Integration Bee Qualifying Exam
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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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2 ways: sq root derivative 1/(√√(1/√x))
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Review: Product to Sum Identities
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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers
derivative a^(f(x)g(x))^h(x)
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Haisi Yin: This is exactly the feeling~❤️❤️
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trig integral ∫1/(√sin(x) √cos^7(x)) dx
3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..
EP 8 - Kami no Niwatsuki Kusunoki-tei Sub Indo
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2nd/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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2 ways: log derivative log3(x)
Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.
EP 9 - Utusan Empat Musim: Tarian Musim Semi
sum: Find a close formula for 2,3,14,24,37,...
Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)