3 Views PremiumDec 20, 2023
Find the median of 4,6,8,...,296
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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logic Idempotent law show x=xVx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?
2nd way: ∫(x+3)/(x^2+6x)^2 dx vs ∫(x+3)(x^2+6x)^2 dx
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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
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AP Calculus 2nd way: integral ∫1/(3√(x^2) + 3√(x^4)) dx
trig integral ∫1/(√sin(x) √cos^7(x)) dx
1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture
Lamar U 2nd way: evaluate integral ∫1/(3x) + sec(9x)tan(9x)e^sec(9x) dx
2nd way: trig integral ∫(cos(x)+1)/sin^2(x) dx
Derivative hyper trig arc tan(tanh(x))
2 ways: log derivative log3(x)
Purdue U: Evaluate ∫sec^5/2(x) tan(x) dx where x= 0 to pi/3
2nd/2ways: Evaluate trig integral ∫1/(sin(x) + cos(x)) dx
2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2
2nd/2ways: Find trig integral ∫sec^2(x)/csc^2(x) dx
1st/2ways: Evaluate trig integral ∫1/(sin(x)+cos(x)) dx