Integrals Game

Integrals

100

int (-20x^9) \ dx

-2x^10 + c

200

int (4) \ dx

4x + c

300

int (3/(x^3)) \ dx

-3/(2x^2) + c

400

int (1/sqrt(x)) \ dx

2sqrt(x) + c

500

int (5 \root(3)(x)) \ dx

(15root(3)(x⁴))/4 + c

Derivatives

100

y= 3x³-10x²+6x-5

y'=9x²-20x+6

200

y= ln (3x³+4x²-2x)

y'= (9x²+8x+2)/(3x³+4x²-2x)

300

y= (2x²+6)(4x-2)

y'=24x²-8x+24

400

y= sin(3x)+ cos(x²)

y'= 3cos(3x)-2x sin(x²)

500

y= ln(3x³-6) + e^2x-5

y'= (9x²)/(3x³-6) + 2e(^2x-5)

Definite Integrals

100

int_0^4(2x)\dx

16

200

int_-4^4 (3/5x+4) \ dx

32

300

int_-2^1(-11/7x+3) \ d(x)

11.4

400

int_0^2 (3m^2-5m-2) \ dm

-6

500

int_-2^0 (x^3+2x^2-4x) \ dx

28/3

Things to remember

100

The slope of the tangent line at any point of the curve

Derivative

200

To find the intervals where the function is increasing or decreasing you use...

The first derivative

300

Is used in calculus to determine the local Maximum and/or the local Minimum Points.

Second Derivative

400

The way of inverse process of differentiation.

Integrals

500

Rules applied in calculus to determine derivatives of exponential, logarithmic and trigonometric functions.

 Trascendental Rules of Differentiation

Everything

100

int \ dx

x + c

200

int ((7x^5-5x^4-2x)/x^3) \ dx

(7x^3)/3-(5x^2)/2+2/x+c

300

y=(2x+1)^2 

y'= 8x+4

400

Full name of your teacher

Valeria Argumedo Hinojosa

500

The derivative of f(x)=x is...

 1