Sagetex: Integrals

Indefinite integrals

Problem Type 1

Integral1

Download file: Integral1  (.tex)

Problem Type 2:

Integral2

Download file: Integral2  (.tex)

Problem Type 3

Integral3Download file: Integral3  (.tex)

Problem Type 4 

Integral4jpg

Download file: Integral4  (.tex)

Problem Type 5: Tabular Integration 

Integral5

Download the file: Integral5 (.tex)

Problem Type 6/6b: $latex \int e^{-\alpha x}\sin(\beta x) \,dx$ and $latex \int e^{-\alpha x}\cos(\beta x) \,dx$ where $latex \alpha, \beta$ are random positive integers.

Integral6

Download file: Integral6 (.tex)

Integrals6b

Download file: Integral6b (.tex)

Problem Type 7: Partial fractions to solve an integral

IndefiniteInt7

 

Download the file: IndefiniteInt7  (.tex)

 

Definite Integrals

Problem Type 1: Area between 2 parabolas

DefInt1b

 

Download the file: DefInt1b (.tex)

Problem Type 2: Find the area under an exponential

DefInt2

Download the file: DefInt2  (.tex)

Problem Type 3: Sketch the region between two curves. Calculate the area

DefInt3Download file: DefInt3  (.tex)

 

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