trig integral Find cos^2(x) sin(x) dx

Compute the derivatives of the following function

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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

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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If 4xe^(xy)=y+5sin^2(x) then find the value of y'(0)

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Alternate way: log integral ∫1/(bx+xln(ax^r)) dx

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Georgia Tech MA155: Evaluate each indefinite integral:

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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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count comb Show (n-r)* nCr = n * (n-1)Cr

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trig integral ∫3e^(2x)/(1+e^(4x)) dx

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1st/2 ways: derivative y=(ln(x))^x

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2 ways: trig derivative log(sec(x/2)+tan(x/2))

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2nd/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via "picture".

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Practice STPM Math Sem2 derivative

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COMMON MISTAKE: derivative (x)' 1/2 x^(-1/2)

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1st/parts: Derivative of the inverse circular functions

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2nd/3ways: exp Derivative x^x

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Alternate way: integral ∫ax+b dx

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trig integral ∫sin(2x) cos(2x)/(9-cos^4(2x)) dx

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