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Integration & Physics Video Lecture | Mathematics (Maths) Class 12 - JEE
FAQs on Integration & Physics Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What is the definition of an integral? |  |
Ans. An integral is a mathematical concept used to calculate the area under a curve or to find the exact value of a quantity by summing infinitesimally small increments.
| 2. How are integrals used in physics? | |
Ans. Integrals are extensively used in physics to calculate quantities such as displacement, velocity, acceleration, work, and energy. They allow us to analyze and solve a wide range of physical problems.
| 3. What is the fundamental theorem of calculus? | |
Ans. The fundamental theorem of calculus states that if a function is continuous on a closed interval, then the definite integral of its derivative over that interval is equal to the difference in the values of the function at the endpoints of the interval.
| 4. Can integrals be negative? | |
Ans. Yes, integrals can be negative. The sign of an integral depends on the behavior of the function being integrated. If the function lies below the x-axis or has negative values over the interval of integration, the integral will be negative.
| 5. Are there different types of integrals? | |
Ans. Yes, there are different types of integrals. The most common types include definite integrals, which have specific limits of integration, and indefinite integrals, which represent a family of functions known as antiderivatives. Other types of integrals include improper integrals, line integrals, and surface integrals, which have applications in various branches of mathematics and physics.
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