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

AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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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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2nd way: integral ∫ log √x(x^n) dx

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Sorong papan tarik papan]

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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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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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2nd way: trig integral ∫(sec(x) tan(x))/(sec^2(x)-sec(x)) dx

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Which of the following do NOT constitute a set & WHY?

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1st/2 way: Expand e^sin(x) by Maclaurin's Theorem

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JEE Main integral x^2/(a+bx)^2 dx

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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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