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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx
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logic Idempotent law show x=xVx
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2 ways: sq root derivative 1/(√√(1/√x))
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2nd way: integral ∫ log √x(x^n) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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2nd/3ways: trig integral ∫sec(x) dx
Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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integral ∫ x dx withOUT using Power rule.
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GMA 7 Family Feud Philippines Full Episode 815 Pag-Ibig na Totoo VS Serbisyong Totoo HD
AP Calculus: integral ∫(5√x^3 + √6x) /√x dx
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UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub
2nd way: Express as partial fractions
#16 MIT 2022 Integration Bee Qualifying Exam
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Lamar U 2nd way: evaluate trig log sq rt integral ∫sin(1+ln(2x))-√(1+ln(2x))/x dx
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integral ∫(x^2+2x)/(x^2+2x+2) dx
#17 2010 MIT Integration Bee Qualifying Exam
#11 2014 MIT Integration Bee Qualifying Exam