Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.8

NCERT solutions Class 12 math's Chapter 7 Exercise 7.8 consists of 6 questions that impart a clear understanding of the definite integrals, their intervals, and limits. Learn about the concept used and the solution to Chapter 7– Integrals Exercise 7.8 in this article.

Question 1:

Solution:

We known that,

Here, a = a, b = b and f(x) = x

Question 2:

Solution:

Let I =

Here, a = 0, b = b and f(x) = (x+1)

=

Question 3:

Solution:

We known that,

Here, a = 2, b = 3 and f(x) = x² => h = (3-2)/n = 1/n

=

Question 4:

Solution:

Let I

..........(1)

We known that,

For

a = 1, b = 4, and f(x) = x²

h = (4-1)/n = 3/n

= 3[1+3+3]

I₁ = 3[7] = 21 .............(2)

For I₂

a = 1, b = 4 and f(x) = x

=> h = (4-1)/n = 3/n

From eq (2) and (3) we obtain,

I = I₁ - I₂ = 21 - =

Question 5:

Solution:

Let I =

We known that,

Here a = -1, b = 1 and f(x) = e^x

=> h = (1+1)/n = 2/n

Question 6:

Solution:

Let I =

We known that,

where

Here a = 0, b = 4, and f(x) = x+e^2x

h =

=>

Similar Reads:

• Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.1
• Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.3
• Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.4
• Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.5
• Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.6
• Class 12 NCERT Solutions – Mathematics Part ii – Chapter 8 – Application of Integrals Miscellaneous Exercise