Samacheer Kalvi 12th Maths Guide Chapter 9 Applications of Integration Ex 9.4

Tamilnadu State Board New Syllabus Samacheer Kalvi 12th Maths Guide Pdf Chapter 9 Applications of Integration Ex 9.4 Textbook Questions and Answers, Notes.

Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 9 Applications of Integration Ex 9.4

Question 1.
Evaluate the following
\(\int_{0}^{1}\) x³e^-2x dx
Solution:
Bernoulli’s formula,
∫uv dx = uv₁ – u¹v₂ + u²v₃ – u³v₄ + ….

Question 2.
\(\int_{0}^{1}\) \(\frac{sin(3tan^{-1}x)tan^{-1}x dx}{1+x^2}\)
Solution:

Question 3.
\(\int_{0}^{1/√2}\) \(\frac{e^{sin^{-1}x}sin^{-1}x}{\sqrt{1-x^2}}\) dx
Solution:

Question 4.
\(\int_{0}^{\pi / 2}\) x² cos 2x dx
Solution: