pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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2nd way: derivative (x^x)^x

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Difference of 2 nonconsecutive triangular numbers

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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Find the area via Pick's Theorem

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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS

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Why the mean of AP is the median of AP? mean=median?

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prob stat: A group consists of 4 girls & 7 boys. In how many ways can a team of 5 members ...

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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JHU: sq root integral ∫e^√x dx

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Matriculation & Calculus: Show if y=f(x) g(x) h(x) k(x)

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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