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FranTo find the integral, you can split the integral of 3sinx-5cosx into two separate integrals.
For the integral of 3sinx dx
integral of sinx= -cosx
you can pull the three out of the integral as a coefficient
Therefore, integral of 3sinx dx= -3 cosx +C
For the integral of -5cosx dx
integral of cosx=sinx
you can pull the -5 out of the integral as a coefficient
Therefore the integral of -5cosxdx= -5sinx +C
Therefore the integral of 3sinx-5cosx =-3cosx-5sinx + C
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What is the ans of integration of x with respect to t?
The indefinite integral of x dt is xt
What is the relationship of integral and differential calculus?
We say function F is an anti derivative, or indefinite integral of f if F' = f. Also, if f has an anti-derivative and is integrable on interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a) Thirdly, Let F(x) be the definite integral of integrable function f from a to x for all x in [a, b] of f, then F is an anti-derivative of f on [a,b] The definition of indefinite integral as anti-derivative, and the relation of definite integral with anti-derivative, we can conclude that integration and differentiation can be considered as two opposite operations.
What is the convulusion integral?
Do you mean the Convolution Integral?
How is integral calculus used in daily life?
The different aspects of calculus are used in the real world every day. In business, specialists look at the derivatives of trends that can help them predict the future of stocks and markets. Architects commissioned for a job are given a budget and they use optimization to calculate the best amount of material they can get with that budget and space in a building they are designing. The Integral is used to show area under a curve. The indefinite integral is the antiderivative of a function. For these types of professions the integral is their Bible, metaphorically speaking. The watch the trends, convert the data into a quantitative function and then use the integral to predict the future of a company or simply use it with differentiation for an optimization problem. Their are many other uses as well that we use, sometimes subconsciously, in everyday life; these are just a couple of examples.
Integral of -x 2?
The integral of -x2 is -1/3 x3 .
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
What is the indefinite integral?
An indefinite integral is a version of an integral that, unlike a definite integral, returns an expression instead of a number. The general form of a definite integral is: ∫ba f(x) dx. The general form of an indefinite integral is: ∫ f(x) dx. An example of a definite integral is: ∫20 x2 dx. An example of an indefinite integral is: ∫ x2 dx In the definite case, the answer is 23/3 - 03/3 = 8/3. In the indefinite case, the answer is x3/3 + C, where C is an arbitrary constant.
Integral of e to the power of x?
The antiderivative, or indefinite integral, of ex, is ex + C.
What you the integral of 1?
if you are integrating with respect to x, the indefinite integral of 1 is just x
What is the indefinite integral of 3sinx 5cosx?
With respect to x, this integral is (-15/2) cos2x + C.
Is it possible for integral to have different values?
An indefinite integral has an arbitrary constant. The arbitrariness ensures that the integral of any function has infinitely many values.
What is the indefinte integral of sin2x?
The indefinite integral of sin 2x is -cos 2x / 2 + C, where C is any constant.
What is integral zero?
The definite integral of any function identically equal to zero between any two points is zero. Integral is the area under the graph of the given function. Sometimes the terms "integral" or "indefinite integral" are used to refer to the general antiderivative of a function, especially in many textbooks. In this case, the indefinite integral is equal to an arbitrary constant, and it is important to distinguish between these two cases.
What is the integral of 1 divided by x squared?
The indefinite integral of (1/x^2)*dx is -1/x+C.
What is the ans of integration of x with respect to t?
The indefinite integral of x dt is xt
What is the indefinite integral of 1 over the Li of x?
Better call it Li2(x).
Integeation of sinx?
The indefinite integral of sin x is equal to -cos x + C.
