0

Guest

Courses New

ans of these two questions and give me full solution of these questions

ans of these two questions
and give me full solution of these questions

Question Image
Grade:12

1 Answers

Atul Singh
28 Points
6 years ago
Question 1)
\int \sqrt{1 + cos2x}
1 can be written as cos^{2}x + sin^{2}x
and cos2x can be written as cos^{2}x - sin^{2}x
Adding both and substituting you get 
\int \sqrt{1 + cos2x}=\int \sqrt{2 cos^{2}x} = \int \sqrt{2} cosx =\sqrt{2}sinx
 
 
Question 2)
\int_{0}^{1}\frac{1}{1+x^{2}}
We know that:
\int\frac{1}{1+x^{2}} = tan^{-1}x

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More