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integral ∫ x dx withOUT using Power rule.
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2nd/2 ways: trig integral sin(x)/x + cos(x)/x^2 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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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
2nd way: integral ∫ log √x(x^n) dx
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she professed herself pupil of the wiseman episode 3 in hindi dubbed official
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2nd way: trig integral ∫1/(1+sin^2(x))cos^2(x))
prob stat: A die with 4 red faces & 2 green faces is rolled twice.
2 ways: ∫ 1/(10x^2 -x-21) dx
derivative: If x=cos(log(y)), show that (1-x^2)y2 - xy1 = y
2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem
2nd/2 ways: ∫2/(x^2-x-6) dx
Screen Recording 2024-02-16 at 9.14.39 PM
#12 2024 MIT Integration Bee Qualifying Exam
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4 ways: trig integral ∫sin(x) cos(x) dx
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2nd way: integral ∫ 1/(5x^2 -3x +7) dx with BONUS