Ax+By+C=0 to x/a + y/b=1

Bijection of elements in tn & a pair of elements of (n+1)

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example: Mean, Median & Mode

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

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2 ways: sq root derivative 1/(√√(1/√x))

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) 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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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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#5 MIT 2022 Integration Bee Qualifying Exam

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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Growing patterns #2

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Review: trig sin(x+90)= cos(x) & cos(x+90)=-sin(x)

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3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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3 ways: trig integral 1/(1+cos(x)) dx

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3rd/4ways: trig derivative sin(x)

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2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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3ways: Find a formula for the sum 2+4+6+...+2n

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Alternate way: trig integral ∫cot(x) csc^6(x) dx ... just in 1 line.

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Is 3x3 EVEN, ODD? Answer: ... depends ...

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