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Add math: 1st/3ways Core Auditorium is an amphitheater that has ..
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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
1st way: exp ∫(e^x)/x (1+x log(x)) dx
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integral ∫ x dx withOUT using Power rule.
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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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2 ways: Show logb^n(a)=1/n logb(a)
Express the sum of the digits of the number (1000^20 - 20) in decimal notation
Show log b^n(x^m) = m/n logb(x)
1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?
trig integral ∫1/cos(ax+b) dx
5 ways: trig derivative tan(x).
1st/2 parts: Inverse 2x2 matrix
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trig integral ∫sin(2x) cos(2x) / (9-cos^4(2x)) dx
exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e
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3 ways: trig integral ∫sin([118]) cos([118]) d[118]
Conversion: Permutation - Combination vice versa
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derivative (f(x)/g(x))^h(x)
Vandermonde's Identity