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

2nd way: integral ∫ log √x(x^n) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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Find dy/dx where x^y+y^x=1

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1st/parts: Derivative of the inverse circular functions

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

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

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2 ways: integral ∫(x^3+2x)/(x-1) dx

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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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integral ∫(x^2+2x)/(x^2+2x+2) dx

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

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

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Compute the derivatives of the following function

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1st/2ways: Evaluate lim sin(5x)/sin(9x) as x tends 0

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

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This time it's Shizuka Motoka

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2nd way: trig 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫sin(x)cos(x)cos(4x)cos(8x)cos(16x)cos(32x)cos(64x) dx

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