Integrals Game!

Easy Indefinite

100

int (-2m^3) \ dm

(-m^4)/2 + c

200

int ((2x^2-x)/x) \ dx

x^2-x+ c

300

int [x(x-3)] \ dx

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

400

int (-3/(root(3)(x^2))) \ dx

-9root(3)(x) + c

500

int \ dx/sqrt(x)

2sqrt(x) + c

Medium Indefinite

100

int (12x^5+10x^4) \ dx

2x^6+2x^5+c

200

int (-9x+3pi) \ dx

-(9x^2)/2+3pix+c

300

int (7x^4-3x+130/x^2) \ dx

(7x^5)/5-(3x^2)/2-130/x+c

400

int (6+7 \root(4)(x^3)) \ dx

6x+4x\root(4)(x^3)+c

500

int (16x^3-8/x^3-18sqrt(x)) \ dx

4x^4+4/x^2-12xsqrt(x)+c

Definite

100

int_0^4(4x)\dx

32u^2

200

int_-1^3 (x-8) \ dx

-28u^2

300

int_-4^0(-11/7x+3) \ d(x)

24.6u^2

400

int_1^2 (12/(x^2)) \ dx

6u^2

500

int_-5^-2 (x^3-5) \ dx

-167.3\u^2

Things to remember

100

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

What is a derivative?

200

The area under a curve between two points can be found by solving a...

What is a Definite Integral?

300

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

What is First Derivative Test?

400

The way of inverse process of differentiation.

What is an Integral?

500

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

What are Trascendental Rules of Differentiation?

"Matonas"

100

int \ dx

x + c

200

int ((6x^5-4x^4-1)/x^2) \ dx

(3x^4)/2-(4x^3)/3+1/x+c

300

int (3x+1)^2 \ dx

3x^3+3x^2+x+c

400

int_2^8 ((u-2)/ sqrt(u) ) \ du

7.54u^2

500

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

What is 0?