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(1+x^2)^(5/2)
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(1+cos(x))
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(1+x^2)
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(x^3+x), partial fraction or MAYBE NOT??
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(x+1)^(3/2) from 0 to inf
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(1+sqrt(x)) (substitution)
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(ax^2+bx+c) (ALL CASES 💪)
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Differentiate in both sides
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sqrt(x^2+16)
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sqrt(ax+b) (substitution)
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Apply 1 = sin^2(u) + cos2(u)
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Apply sin(2u) = 2sin(u)cos(u)
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(x+1)^2 (substitution)
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(x^2+1) from -inf to inf, Contour Integral
15
(a^2+x^2)
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(1+x^2)^(3/2) (substitution)
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(x^2+1) but you didn't learn it this way in calculus 2
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(x^3+1) from 100 integrals
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sqrt (x^2 + a^2)
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(x^(1/2)+x^(1/4)) (substitution)
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(ln(x))^2
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(x^3+x), partial fraction or MAYBE NOT
23
Substitute x and dx
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sqrt(x)
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(a^2+x^2)^(3/2) (substitution)
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tan(x) (substitution)
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x from 1 to Infinity
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(cos^2(x) + 2sin^2(x)) dx
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Rewrite expression
30
Apply sin(arctan(x)) and cos(arctan(x)) formulas
31
(x^6+1) without partial fractions!
32
(16+9x^2) (substitution)
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sec(x)
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x(1 + ln x)
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(x^3+x)
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(9+x^2)^(3/2)
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(4+x^2)
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Trig Substitution
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(1+tan(x)) (substitution)
40
(x*(ln(x))^3) (substitution)
41
(x*(1+(ln(x))^2)) (substitution)
42
(1+sqrt(2x))
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(x*sqrt(ln(x)) from 1 to e
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(4 + x^2)
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(1 + cos x) dx
46
(1+sqrt(x))
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(x^(1/2) + x^(1/3)) (substitution)
48
(x^2+9) (substitution)
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(x*ln(x)) (substitution)
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