int (-2m^3) \ dm
(-m^4)/2 + c
int (12x^5+10x^4) \ dx
2x^6+2x^5+c
int_0^4(4x)\dx
32u^2
The slope of the tangent line at any point of the curve
What is a derivative?
int \ dx
x + c
int ((2x^2-x)/x) \ dx
x^2-x+ c
int (-9x+3pi) \ dx
-(9x^2)/2+3pix+c
int_-1^3 (x-8) \ dx
-28u^2
The area under a curve between two points can be found by solving a...
What is a Definite Integral?
int ((6x^5-4x^4-1)/x^2) \ dx
(3x^4)/2-(4x^3)/3+1/x+c
int [x(x-3)] \ dx
x^3/3-(3x^2)/(2) + c
int (7x^4-3x+130/x^2) \ dx
(7x^5)/5-(3x^2)/2-130/x+c
int_-4^0(-11/7x+3) \ d(x)
24.6u^2
Is used in calculus to determine the local Maximum and/or the local Minimum Points.
What is First Derivative Test?
int (3x+1)^2 \ dx
3x^3+3x^2+x+c
int (-3/(root(3)(x^2))) \ dx
-9root(3)(x) + c
int (6+7 \root(4)(x^3)) \ dx
6x+4x\root(4)(x^3)+c
int_1^2 (12/(x^2)) \ dx
6u^2
The way of inverse process of differentiation.
What is an Integral?
int_2^8 ((u-2)/ sqrt(u) ) \ du
7.54u^2
int \ dx/sqrt(x)
2sqrt(x) + c
int (16x^3-8/x^3-18sqrt(x)) \ dx
4x^4+4/x^2-12xsqrt(x)+c
int_-5^-2 (x^3-5) \ dx
-167.3\u^2
Rules applied in calculus to determine derivatives of exponential, logarithmic and trigonometric functions.
What are Trascendental Rules of Differentiation?
The derivative of f(x)=e is...
What is 0?