Calculus 2: Integration Techniques
29 videos • 2,293 views • by Math Problems Solved Craig Faulhaber
1
Compute the integral of xe^(3x) dx (integration by parts)
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2
Find the following integral int(xcosx dx) (Integration by parts)
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3
Find the following integral: int(x^2 e^x dx)
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4
Find the following integral: int(x sin(4x) dx )
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5
Integrate by parts! Int (x lnx dx)
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6
Integrate lnx dx (integration by parts!)
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7
Integrate (lnx)^2 dx (integration by parts problem)
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8
Evaluate the integral of arcsin(x) dx
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9
Find the volume generated by rotating the region bounded by y=sinx, y=0, x=2pi, x=3pi about the ...
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10
Evaluate the definite integral int_3^6 (t^2 ln(2t) dt)
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11
Evaluate the integral of -7ln(x^2-1)dx (Integration by Parts!)
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12
If g(1)=1, g(5)=-8 and int_1^5 g(x) dx = -9, evaluate the integral int_1^5 x g'(x) dx. (By Parts!)
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13
Find the following integral int e^(5x)sin(2x) dx (Integration by parts!)
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14
Integrate dx/sqrt(4-x^2) Trigonometric Substitution Example 1
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15
Integrate x^2/sqrt(1-x^2). Trigonometric Substitution Example 2
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16
Integrate sqrt(x^2 - 25) / x dx. This is a trig substitution -- Video 3!
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17
Integrate dx/sqrt( x^6 - x^2 ) (Trig Sub #4!)
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18
Integrate dx / (x^2 - 9)^(3/2) (Trig Sub Example 5!)
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19
Integrate dx/sqrt(x^2 - 6x) (Trigonometric Substitution -- Trig Sub #7!)
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20
Integrate dx / sqrt(x^2 +4x - 12) (Trig Sub 7!)
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21
Integrate 1/sqrt(1 + (6x+4)^2 ) dx (Trigonometric Substitution #8!)
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22
Integrate x^2/sqrt(4x - x^2) dx (Trig Sub #9!)
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23
Integrate -7/sqrt(x^2+16) dx (Trigonometric Substitution #10)
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24
Integrate (3x-2) / (x^2 - 2x) dx from x=4 to 5. (Partial Fractions #1!)
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25
The form of the partial fraction decomposition is given below. Find A, B,C and evaluate the integral
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26
Integrate 1/(x^2 - 1) dx (Partial Fractions #3)
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27
Integrate (13x-19)/(x^2-2x-3) dx (Partial Fractions Problem #4)
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28
Consider the following integral. The integrand decomposes into the form ax + b + c/(x-5) + d/(x-5)..
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29
Evaluate the integral of (x^3 + 35)/(x^2 + 4x + 3) (Partial Fractions #6)
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