Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.7

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 9 Applications of Integration Ex 9.7 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.7

Question 1.
Evaluate the following
(i) \(\int_{0}^{∞}\) x⁵ e^-3x dx
Solution:

(ii) \(\int_{0}^{π/2}\) \(\frac{e^{-tanx}}{cos^6 x}\) dx
Solution:

Question 2.
\(\int_{0}^{∞}\) sin^αx² x³ dx = 32, α > 0, find α
Solution: