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Suppose f & g are positive functions. Obtain the product rule for (fg)' by differentiating ...
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Review: Linear form, Quadratic form & Bilinear form
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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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1st way: exp ∫(e^x)/x (1+x log(x)) dx
11 Views
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx
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2nd way: integral ∫ log √x(x^n) dx
40 Views
Texas Tech: Find integral #7 ∫xsin(x^2) dx vs #5 ∫xsin^2(x) dx
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OSU Math 1151 Practice2: Compute the derivative (1)-(8)
2nd/3ways: Laplace Show that ...
integral ∫√(x-a)/x dx
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1st/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)
3 ways: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(ax+b) dx
Show ∫1/(a+btan(x)) dx = ...
Alternate way: ∫1/(x^2+a^2) dx
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Cancellation Law ❌ Matrices
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Find 1) E(X) 2) E(3X) 3) E(3x+2)
1st/2ways: Taylor series of cos(x)