Basic Approaches
Integration by Parts
Trig Integrals
Trig Substitutions
Partial Fractions
100
The integral of 2 dx equals...
What is 2x+c
100
The integration by parts formula states that integral udv=...
What is uv-integral vdu
100

integral tanx dx=...

What is ln |secx|+c

100
If integral contains a^2-x^2, substitute x=...
What is asintheta
100
How many types of partial fractions are there, and what are they...
What is simple linear, repeated linear, simple irreducible quadratic, and repeated irreducible quadratic
200

The best method to solve the integral of dx/(sqrt(-7-8x-x^2) is...

What is trig substitution

200
When solving an integration by parts question, what are the two variables and their derivatives that are substituted?
What is u,v,du,dv
200

integral cotx dx=...

What is ln |sinx|+c

200
If integral contains a^2+x^2, substitute x=...
What is atantheta
200
the partial fraction A/(x-r) belongs to which type of partial fraction?
What is simple linear
300
Using U substitution to solve the integral of dx/(3+2x), you would set u=...
What is 3+2x
300
given two differentiable functions, u and v, the product rule states that d/dx (u(x)v(x))=...
What is What is u'(x)v(x)+u(x)v'(x)
300

When both powers of sinx and cosx are even, what trig identity formulas are substituted?

What is power-reducing formulas

300
If integral contains x^2-a^2, substitute x=...
What is asectheta
300

The partial fraction Ax+B/(ax^2+bx+c) where b^2-4ac < 0 belongs to this type of partial fraction

What is simple quadratic

400

the method of choice, involving polynomial long division, for solving the integral of (x^2+2x-1)/(x^2-4) would be...

What is partial fractions

400
in integral of ln2xdx, what is u and what is dv?
What is u=ln2x dv=dx
400
integral sin^(m)xcos^n(x)dx: when m is odd and n is real, strategy is to split off___ and set u=___
What is sinx, cosx
400
in the integral dx/(16-x^2)^2, substitute x=...
What is 4sintheta
400

The partial fraction decomp for f(x)=(3x+7)/(x^3-x^2-2x) is...

What is A/x + B/(x+1) + c/(x-2)

500
from the basic integration formulas table, the integral of dx/sqrt(a^2-x^2) is...
What is sin^(-1)(x/a)+c
500
the integral of lnx dx=...
What is xlnx-x+c
500
integral sin^(m)xcos^n(x)dx: when n is odd and m is real, strategy is to split off___ and set u=___
What is cosx, sinx
500
in the substitution x=asintheta, the useful identity a^2-a^2sin^2theta=...
What is a^2cos^2theta
500

integral (7x^2-13x+13)/((x-2)(x^2-2x+3)) is reduced to the partial fraction...

What is A/(x-2) + (Bx+C)/(x^2-2x+3)

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