Derivatives & U-Sub
The derivative of cos(x)
What is -sin(x)
What is F(x)=kx
The go to integration technique
What is U-Substitution?
The formula of integration by parts
u*v-Integral(v*du)
The most friendly trig identity that equals 1
What is sin2(x)+cos2(x)?
The U-sub for Integral(x2)/(x3-2)dx
What is x3-2?
The way to take the area between two curves
What is top-bottom
The technique that relies on skills from middle school
What is long division?
Given the equation: Integral(x2cosx)dx, the piece you would choose as u
What is x2
The identity of sin(2x)
What is 2sin(x)cos(x)?
The derivative of -64x3
What is -172x2?
The arc length of f(x)=4x-3 from 0 to 3
3sqrt17 u
A way to separate integrals into pieces we can integrate
What is split fractions?
The biggest mistake of integration by parts
What is change u's and v's in the middle of the problem?
The identity of sec2(x)
What is tan2(x)+1?
The derivative of sec(x)
What is tan(x)sec(x)?
Solve for the area of y=x2-2 rotated about the y axis bounded from 2 to 6
What is 6pi?
Everyone's favorite quadratic algebra move
What is completing the square?
∫xe6xdx from -1 to 2
(13e12−136e12)−(−16e-6−136e-6)
The identity of tan2(x)
What is sec2(x)-1?
The U-sub and Integral of sec2(x)/ (1+tan(x))3dx
What is 1+tan(x) and −1/2(tan(x)+1)2+C
F= ρg(h− y)w(y)dy
p is the density of water
g is the accelaration due to gravity
h-y is the depth of the tank
w(y) is the height of the tank
The most algebraic form of integration
What is multiplying by one?
∫w2sin(10w)dw
−w2/10*cos(10w)+15(w/10*sin(10w)+1/100*
cos(10w))+c
cos2(x)-sin2(x)