0

Guest

Courses New

How to evaluate the definite integral from 0 to a [sin^-1[(x/a+x)^1/2]dx]

How to evaluate the definite integral from 0 to a [sin^-1[(x/a+x)^1/2]dx]

Question Image
Grade:12

1 Answers

vishal
38 Points
5 years ago
Let ... x=a tan ^2(t) Then. dx=2a tan(t)sec^2(t) dt & x= 0 to a...then. t=0 to π/4Put in the integral Then the integral from 0 to π/4 {sin^-1√[a tan^2(t)/a+atan^2(t)][2a tan(t) sec^2(t) dtAnd solve easily....And ans.. is ..2a

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