Math Cluuub

Integrals

1

∫dx/(x(9x²-1)^1/2)

arctan(9x²-1)^1/2+c

5

∫(x-1)/(x²-2x)^1/2 dx

(x²-2x)^1/2 + c

10

∫csc 5x dx

-1/5 * ln|(1+cos5x/(sin5x)| + c

15

∫x3^x*x dx

(3^x*x)/2ln3 + c

20

Take the indefinite integral: e^x/(e^x+1) dx

ln |e^x+1| + c

Derivatives

1

d/dx arcsin (x)

1/(1-x²)^1/2

5

d/dx (3x³4y)

36x²y

10

d/dx (x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)

65x⁶⁴

15

d/dx (3x/2x³y²)

-3/(x³y²)

20

d/dx (∫ 2x dx)

2x

Algebra II

1

lim x-> 0 ((sinx)/x))

1

5

sec²x-1 = ?

tan²x

10

lim x-> 2 ((x-2)/x)

0

15

What's the difference quotient?

(f(x+h)-f(x))/(h)

20

How many degrees is 5pi/3 radians equal to?

300°

Misc

1

List all the classes that Ms. Lee teaches

AP Pre-cal

College Alg/Trig

etc

5

What's the second integral of Ms. Ross's 4th period's average for the most recent quiz?

40x²/2 + Cx + C

10

What's Abhinav's favorite candy?

Almond joys

15

Is Coach Abel's first name Sean, Shawn, or neither?

Shawn

20

What color is Eric's favorite pencil?

Green

English

1

take the integral from 0 to 1 of x(1-x²)dx

1/3

5

∫∫∫ sin(x) dx

cos(x) + Cx²/2 + Cx + C

10

∫∫ (x + 2) dx

too lazy; free points

15

d/dx e^3x/2x⁵

(3xe^3x-5e^3x)/2x⁶

20

Spell out on-treh-pre-nu-er

entrepreneur