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NCERT Solutions Class 12 Maths Chapter 7 - Integrals

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N C E R T 	 s o l u t i o n
C h a p t e r 	 - 	 7
I n t e g r a l s 	 - 	 E x e r c i s e 	 7 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
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2 . 	
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1 	 / 	 1 7
N C E R T 	 s o l u t i o n
C h a p t e r 	 - 	 7
I n t e g r a l s 	 - 	 E x e r c i s e 	 7 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
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1 	 / 	 1 7
N C E R T 	 s o l u t i o n
C h a p t e r 	 - 	 7
I n t e g r a l s 	 - 	 E x e r c i s e 	 7 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
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1 	 / 	 1 7
N C E R T 	 s o l u t i o n
C h a p t e r 	 - 	 7
I n t e g r a l s 	 - 	 E x e r c i s e 	 7 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
1 . 	 	
A n s . 	
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2 . 	
A n s . 	
2 	 / 	 1 7
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6 . 	 	 	
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7 . 	
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1 	 / 	 1 7
N C E R T 	 s o l u t i o n
C h a p t e r 	 - 	 7
I n t e g r a l s 	 - 	 E x e r c i s e 	 7 8 .
E v a l u a t e 	 t h e 	 d e f i n i t e 	 i n t e g r a l s 	 i n 	 E x e r c i s e s 	 1 	 t o 	 1 1 .
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A n s . 	
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8 . 	
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FAQs on NCERT Solutions Class 12 Maths Chapter 7 - Integrals

1. What are integrals?
Ans. Integrals are mathematical tools used to calculate the area under a curve or to find the accumulated change in a quantity over an interval. They are an important concept in calculus and are used in various fields of science and engineering.
2. How do you solve integrals?
Ans. Integrals can be solved using different techniques, depending on the function being integrated. Some common methods include using basic integration rules, such as the power rule or the substitution method. For more complex functions, techniques like integration by parts or trigonometric substitutions may be used.
3. What is the purpose of finding integrals?
Ans. The purpose of finding integrals is to calculate quantities such as displacement, area, volume, or accumulated change. Integrals are used in various real-world applications, such as calculating the area under a sales curve, determining the velocity from an acceleration function, or finding the volume of an irregular-shaped object.
4. Can integrals be negative?
Ans. Yes, integrals can be negative. The sign of an integral depends on the function being integrated and the limits of integration. If the function lies below the x-axis within the given interval, the integral will be negative, indicating a "net loss" or "net decrease" in the quantity being measured.
5. What is the difference between definite and indefinite integrals?
Ans. The main difference between definite and indefinite integrals is the presence or absence of limits of integration. Definite integrals have specific limits that define the interval over which the integration is performed, and they result in a single numeric value. On the other hand, indefinite integrals do not have limits and represent a general antiderivative of a function, allowing for a family of functions as solutions.
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