Class 12 Exam > Class 12 Notes > Indefinite Integration, Class 12, Maths
Indefinite Integration, Class 12, Maths PDF Download
Evaluate: 
a)
b)
c)
d)
Correct answer is option 'A'. Can you explain this answer?
Ref: https://edurev.in/question/482210/Evaluate-a-b-c-d-Correct-answer-is-option-A-Can-you-explain-this-answer-
use the frmula frm integration and solve..u will get the answer..option A is crct..
..HOPE U GOT IT...
FAQs on Indefinite Integration, Class 12, Maths
| 1. What is indefinite integration? |  |
Ans. Indefinite integration, also known as antiderivative, is a mathematical operation that involves finding a function whose derivative is equal to the given function. It is denoted by the symbol ∫ and does not have specific limits of integration.
| 2. How is indefinite integration different from definite integration? | |
Ans. Indefinite integration and definite integration are both integral calculus concepts, but they have distinct differences. Indefinite integration involves finding a general antiderivative of a function, while definite integration calculates the exact area under a curve between specific limits of integration.
| 3. What are the basic rules of indefinite integration? | |
Ans. The basic rules of indefinite integration include linearity, power rule, constant rule, and the rule for integrating a constant. Linearity states that the integral of a sum or difference of functions is the sum or difference of their integrals. The power rule states that the integral of x^n is (x^(n+1))/(n+1), where n is any real number except -1. The constant rule states that the integral of a constant multiplied by a function is equal to the constant multiplied by the integral of the function. Finally, the rule for integrating a constant states that the integral of a constant is equal to the constant multiplied by the variable of integration.
| 4. How can I solve indefinite integration problems step-by-step? | |
Ans. To solve indefinite integration problems step-by-step, follow these general steps:
1. Identify the function to be integrated.
2. Apply the specific integration rule(s) based on the form of the function.
3. Use algebraic manipulation to simplify the integral.
4. Find the antiderivative by integrating term by term.
5. Add the constant of integration.
6. Simplify the final answer, if needed.
| 5. What are the applications of indefinite integration in real-life scenarios? | |
Ans. Indefinite integration has various applications in real-life scenarios, including physics, engineering, economics, and finance. For example, it can be used to determine the velocity and acceleration of an object based on its position function, calculate the area under a curve representing a changing quantity, model population growth or decay, analyze cost and revenue functions in business, and solve various differential equations that describe real-world phenomena.
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Dec 19, 2024 Last updated |
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