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2nd way: derivative (x^x)√ x
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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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2nd way: integral ∫ log √x(x^n) dx
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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
COMMON MISTAKE!: directive d/dx(sin(x) cos(x)) ≠ d/dx(sin(x)) d/dx(cos(x))
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COMMON MISTAKE!: exp derivative d/dx(a^x) ≠ x a^(x-1)
9Screen Recording 2023-12-02 at 2.43.56 AM
2 ways: ∫ 1/(10x^2 -x-21) dx
Find 1) E(X) 2) E(3X) 3) E(3x+2)
Review: trig tan(x+360)= tan(x) & tan(x+180)=tan(x)
3rd Alternate way: ∫(5+2x^3)/(x+x^4) dx
#16 MIT 2022 Integration Bee Qualifying Exam
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October orange show?
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2nd/3ways: trig integral ∫sec(x) dx
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log iintegral 1/( lnlnln(x) lnln(x) ln(x) x) dx
2 ways: integral (3+5x)/(x(x-1)) dx
Alternate way: ∫1/(x^2+a^2) dx
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Review: trig sin(x+180)= -sin(x) & cos(x+180)=-cos(x)
2nd/2 ways: ∫2/(x^2-x-6) dx