1st/2 ways: Find dy/dx of sin(x) + cos(y) =e^x

2nd way: integral ∫1/(a + √√b (x^2)) dx

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logic Idempotent law show x=xVx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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2nd way: Express as partial fractions

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3rd/3ways: trig integral ∫sec(x) dx

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Princeton U: Compute the integral ∫sin^5(x)/cos(x) dx

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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Calculus: Find nth derivative of log(ax+b)

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1st/3ways: trig integral ∫sec(x) dx

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Lamar U: Differentiate ... a) (5x^3-7x+1)^5 [f(x)]^5, [y(x)]^5

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4 ways: trig integral ∫sin(x) cos(x) dx

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2nd way: trig integral ∫sin^6(ax+b) cos^6(ax+b) dx

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2nd/2parts: Review: Equation of a straight line passing through the point (x1,,y1)...

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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1st/2parts: Review: Equation of a straight line passing through the point (x1,,y1) ..

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2nd Alternate trig ∫integral sin(x) dx

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2nd way: trig integral ∫1/(sin(x) cos^2(x)) dx

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