2 ways: Find ∫(ax^x+bx+c) dx

Suppose f & g are positive functions. Obtain the product rule for (fg)' by differentiating ...

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integral ∫ x dx withOUT using Power rule.

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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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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

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Derivative: Don't blindly use the Quotient Rule every time you see a quotient

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Cancellation Law ❌ Matrices

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Find the Maclurin series for (2x+3)(5x-4)

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1st/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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2nd/3ways: Laplace Show that ...

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Is 4cos^3(x)-3cos(x) EVEN, ODD, NEITHER, BOTH EVEN & ODD?

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Review Add Math: 1.2/parts: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Solve √(2x-5) -√(x-2) = 2

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sq root derivative √x [Good to know the result]

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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integral ∫√(x-a)/x dx

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4th way: rational function integral ∫x^3/√ (1+x^2) dx

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