Main Navigation Calculus Discrete Mathematics Estradiol Gel Linear Algebra Physics Professional Activity Theoretical Physics

Appearance

Sidebar Navigation

Calculus

1 Limits

1.1 The Definition of Limit

1.2 Infinitesimals

2 Derivative And Differential

2.1 The Definition of Derivative

2.2 Rules of Finding Derivatives

2.3 The Definition of Differential

2.4 Implicit Function

2.5 First Order Linear Differential equations

2.6 Higher-Order Derivative And Taylor Series

3 Integration

3.1 The Definition of Integral

3.2 Riemann Sum and Definite Integrals

3.3 First Fundamental Theorem of Calculus

3.4 Second Fundamental Theorem of Calculus

3.5 Integral Techniques

3.5.1 Integrals of Trig Functions

3.5.2 Integrals of Radical Functions

3.5.3 Integrals of Rational Functions

3.6 Improper Integrals

3.7 Applications of the Integral

4 Infinite Series

4.1 The Definition of Infinite Series

4.2 Important Infinite Series

4.3 The Test of Positive Series

4.4 The Test of Ordinary Series

4.5 Power Series

4.6 Taylor Series

5 Polar Coordinate

5.1 Translation and Rotation of the Coordinate

5.2 Parametric Equations

5.3 The Introduction of Polar Coordinates

5.4 Graphs of Polar Equations

5.6 Calculus in Poolar Coordinates

6 Geometry and Vectors in Space

6.1 Graphs in Space

6.2 Vectors

6.3 Vector-Valued Functions

6.4 Curvature

7 Multivariate functions

7.1 Partial Derivatives

7.2 Limits and Continuity

7.3 Differentiability

7.4 Maxima and Minima

8 Multiple Integrals

8.1 Double Integration

8.3 Surface Area

On this page

Second Fundamental Theorem of Calculus

$\int_{a}^{b} f (x) d x = F (b) - F (a)$

which $F (x)$ is the antiderivative of $f (x)$ , or $F^{'} (x) = f (x)$

Pager

Previous page3.3 First Fundamental Theorem of Calculus

Next page3.5 Integral Techniques

Second Fundamental Theorem of Calculus ​

Second Fundamental Theorem of Calculus