prob stat: X & Y are 2 events s.t P(x|y)=0.4, P(y)=0.25 & P(x)=0.2.

[Course24h.com] Ian Stanley – Welcome Sequence Templates

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

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

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prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards

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4 ways: exp integral ∫a^(bx+c) dx

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Alternate way: Evaluate exp integral ∫1/√(1-e^(2x)) dx

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trig Show ...

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Mohammad Ali Jinnah University: Integrate the followings.

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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1st/2ways: Find trig integral ∫sec^2(x)/csc^2(x) dx

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2nd/2ways: Evaluate trig integral ∫1/(sin(x) + cos(x)) dx

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6th form Pure Math: Evaluate the integrals

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trig integral ∫sin^(-2/3)(x) cos^3(x) dx

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1st/2ways: logic Import-Export

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3rd/10parts: Exclusive disjunction

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prob & stat: Show ...

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3 ways: trig integral ∫sec^2(x) tan(x) dx

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3 ways: sum Show 1+3+5+...nth term = n^2

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