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homework assignment help is most useful online portal for students providing all type of Online Calculus assignment help Services. Calculus Assignment Help is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of modern mathematics education. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change,in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.

AP calculus:

The AP calculus is advanced version of calculus. In high school, AP calculus is widely used. We need learn about general formulas for solving AP calculus problems. AP Calculus is classified as differential calculus and integral calculus. Different problems are used for solving the AP calculus problems. In this article, we deal with some differential and integral calculus problems.

Example Problems for Ap Calculus

AP calculus problem 1:

Find the integral value of the function g(x) = (9x4 + 5x2 - 3) dx

Solution:

The given function is g(x) = (9x4 + 5x2 - 3) dx

Integrate the given function with respect to x, we get

                                     G(x) = ∫ ( 9x4 + 5x2 - 3) dx

                                              = (9 / 5) x5 + (5 / 3) x3 - 3x + c

Answer:

The final answer is (9 / 5) x5 + (5 / 3) x3 - 3x + c

AP calculus problem 2:

Find the integral value of the function y = cos 2x sin 3x dx

Solution:

The given function is y = cos 2x sin 3x dx

We know that,

cosA sinB = (1 / 2) [ sin(A + B) - sin(A - B)]

Given cos 2x sin 3x

A = 2x, B = 3x

Therefore,

cos 2x sin 3x dx = (1 / 2)` (sin 5x - sin (- x)) dx

Integrate the given function with respect to x, we get

                                     G(x) = ∫ (1 / 2) (sin 5x - sin (- x)) dx

                                            = (1 / 2) [( - cos x) - (cos 5x) / 5) ]

                                            = `(1 / 10)` (- 5 cos x - cos (5x)) + c

Answer:

The final answer is (1 / 10) (- 5 cos x - cos (5x)) + c

AP calculus problem 3:

Differentiate the given function u = 4. 3x4 + 3.8x2 - 2.12x

Solution:

Given function u = 4. 3x4 + 3.8x2 - 2.12x

Differentiate the given function with respect to x, we get

              ((du) / dx) = (4.3 * 4)x3 + (3.8 * 2)x - 2.12

                           = 17.2x3 + 7.6x - 2.12

Answer:

The final answer is 17.2x3 + 7.6x - 2.12

AP calculus problem 4:

Differentiate the given function z = sin (5x)

Solution:

Differentiate the given function with respect to x, we get

                      (dz / dx) = 5 cos (5x)

Answer:

The final answer is 5 cos (5x)

Practice Problems for Ap Calculus

AP calculus problem 1:

Find the differentiation value of the given function u(x) = cos (3x) dx

Answer:

The final answer is - 3 sin (3x)

AP calculus problem 2:

Find the integral value of the given function f(x) = sin (3x) cos (4x) dx

Answer:

 The final answer is(1 / 14) (7 cosx - cos(7x))

Students can get all the Calculus homework help needed from the expert tutors. All the help required with solving and understanding calculus problems for homework and examinations can be got online. As the Calculus help is provided online, students can get help immediately and accurately with the understanding of the concept. The tutors ensure the efficient understanding by providing example problems and explanation of the steps of the calculations. As the tutoring is online and instantaneously , the students may also clarify their doubts immediately.

Functions Limits and Continuity

Left Hand Limit: Let f(x) tend to a limit l1 as x tends to a through values less than a, then l1 is called the left hand limit.

Right Hand Limit: Let f(x) tend to a limit l2 as x tends to 'a' through values greater than 'a', then l2 is called the right hand limit.

Differentiation

The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science, economics, medicine and computer science.

Differential Equations

Differential Equation: A differential equation is a relation between the independent, dependent variables and their differential coefficients.

Indefinite Integrals

The expression ∫ f(x) dx is read "the indefinite integral of f(x) with respect to x," and stands for the set of all antiderivatives of f.

Thus, ∫ f(x) dx is a collection of functions; it is not a single function, nor a number.


Definite Integrals

Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we define

Application of Derivatives

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives are used to represent and interpret the rate at which quantities change with respect to another variable.

Exponential and Logarithmic Series

The sum of the infinite series 1 + 1/1! + 1/2! + 1/3! + 1/4! + ...¥ is called the exponential number.


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