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Integration & Physics Video Lecture | Mathematics (Maths) Class 12 - JEE

204 videos|288 docs|139 tests

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.
204 videos|288 docs|139 tests

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