2nd way: ∫1/(√x cos(√x)) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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

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prob stat: The following frequency table gives the values obtained

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Review: integral ∫1/(x^2-a^2)dx vs integral ∫1/(a^2-x^2) dx vs integral ∫1/(x^2+a^2) dx

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2nd way: sq rt integral ∫(√x)/(x+1) dx

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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If P and Q are statements, then write the negation of P Q using only the connectives ∧ and ¬

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#19 2010 MIT Integration Bee Qualifying Exam

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Lamar U #12 trig integral sec^4(2t)/tan^9(2t) dt

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#3 2023 MIT Integration Bee Qualifying Exam

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4 ways: trig integral ∫tan(x) dx

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Conversion: Permutation - Combination vice versa

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Suppose your midterm test score is 83 & your final exam score is 95.

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alternate way: count sum 1+2+3+ ... +n

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UC Davis #14: integral ∫x √(4-x) dx

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00 Introduction

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#12 2014 MIT Integration Bee Qualifying Exam

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1st/2parts 3 ways: tn-1 + tn = n^2 where tn = nth triangular number

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