Basic Integration
Ms. Kurzyna
Integration by Parts (1)
Integration by Parts (2)
General Knowledge
100

Process opposite of Integration

What is differentiation?

100

Country where Ms. Kurzyna's from

What is Poland?

100

Formula for Integration by Parts

fudv=uv-fvdu
100

xsin(x) dx

-xcosx+sinx+c

100

The adjective for an angle less than 90 degrees

What is acute?

200

f e^x dx

What is e^x +C?

200

Ms. Kurzyna's favorite color

What is Green?

200

f xe^x dx

xe^x- e^x + C

200

f ln(x) dx

xln(x) - x + C

200

This mathematical constant represents the natural logarithm of 1

What is 0?

300

sin(x) dx

-cos(x) + C

300

Number of children Ms. Kurzyna has

What is 2?

300

f ((ln(x))^2 dx

x((ln(x)^2)-2ln(x)+2) +C

300

Integration by parts, a method to find an integral of a function, is also known as...

What is partial integration?

300

Dedicated to the goddess Athena, this famous Greek temple is believed to feature the Golden Ration in its architectural design

What is the Parthenon?

400

3 dx from 5 to 12

What is 21?

400

Classes Ms. Kurzyna has not taught

AP Statistics

400

f ln(x)/x^2 dx

-(ln(x)+1)/x +C

400

f xcos(x) dx 

xsin(x) + cos(x) + C

400

Also known as Leonardo of Pisa, this famous Italian mathematician is best known for discovering a sequence where each number is the sum of the two previous numbers.

Who is Fibonacci?

500

In the following equation, ƒ f(x) dx, f(x) is called

What is the integrand?

500

# (in years) that Ms. Kurzyna has worked at BTHS

What is 7 years?
500

x^2e^x dx

(x^2 -2x +2) e^x +C

500

f e^x sin(x) dx

(e^x (sin(x)-cos(x))/2

500

Ms. Kurzyna's absolute most favorite student this year

Who is Ethan Lin?