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Improper Integrals, Completing the Square, Partial Fractions, Integration by Parts, Trig Substitution, Powers of Trig Functions

Calculus Contents: Integration Techniques

Improper Integrals:


Improper integral (at limit): negative 1/5 power

Improper integral (at limit): negative 6/5 power

Improper integral (between limits): negative 1/5 power

Improper integral (between limits): negative 6/5 power

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Completing the Square:


Completing the Square and Arcsin
Completing the Square and Arctan

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Partial Fractions:


Distinct Linear Factors
Repeated Linear Factor partial fractions integral problem

Factored Quadratic partial fractions integral problem

Factored Cubic partial fractions integral problem

x2+Constant partial fractions integral problem

Repeated Factor partial fractions integral problem

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Integration by Parts:


Linear times exp(linear)
Linear times sin(linear)
Integral of ln of a linear quantity
Integral of x * ln of a linear quantity
Integral of x^2 * ln of a linear quantity

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Trig Substitutions:


Sine Substitution: Radical in the denominator

Sine Substitution: Radical and x2 in the denominator

Tangent Substitution: x over 3/2 power of quadratic

Tangent Substitution: Radical and x in the denominator

Secant Substitution: x cubed times radical

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Powers of Trig Functions:


Integral of a power of a sine
Integral of a power of a cosine
Integral of a power of a tangent
Integral of a power of a cotangent
Integral of a power of a secant
Integral of a power of a cosecant

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