Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 9 Applications of Integration Ex 9.2 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.2

Question 1.
Evaluate the following integrals as the limits of sums:
(i) \(\int_{0}^{1}\) (5x + 4)dx
Solution:
(i) Here f(x) = 5x + 4, a = 0, b = 1
Hence we get
Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.2 1

Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.2

(ii) \(\int_{1}^{2}\) (4x² – 1)dx
Solution:
Here f(x) = 4x² – 1, a = 1, b = 2
We use the formula
Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.2 2

Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.2

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