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) \(\int_{0}^{∞}\) x^{5} 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: