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2nd Alt. way: log Taylor series of ln(sec(x)) withOUT Taylor series explicitly
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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
13 Views
CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
14 Views
AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
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Florida International U: Find derivatives ...defined implicitly ... (a)-(c)
#Screen Recording 2024-05-13 at 10.52.38 PM
UT Austin: trig integral ∫csc((x-π)/2) cot((x-π)/2) dx
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trig Show tan(x)/(sec(x)+1)=(sec(x)-1)/tan(x)
trig integral Find cos^2(x) sin(x) dx
Screen Recording 2024-05-13 at 9.18.43 PM
2 ways: trig Prove the identity sin(2x)=2/(tan(x)+cot(x))
trig Show 1/(1-sin(x)) + 1/(1+sin(x)) = 2 sec^2(x)
2 ways: Determine the derivative of (ax+b)^n
Screen Recording 2024-02-21 at 9.58.10 PM