Q. 55.0( 1 Vote )

# <span lang="EN-US

Given Definite integral can be written as: (1)

Let us assume y = a2+x2

Differentiating w.r.t x on both sides we get,

d(y) = d(a2+x2)

dy = 2xdx ……(2)

Upper limit for the Definite Integral:

x=a y = a2+a2

y=2a2……(3)

Lower limit for the Definite Integral:

x=0 y = a2+02

y = a2……(4)

Substituting (2),(3),(4) in the eq(1), we get,  We know that:    We know that: [here f’(x) is derivative of f(x))

I(x) = (2a2 )1/2 – (a2 )1/2

I(x) = √2 a – a

I(x) = a(√2–1) Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Evaluate the follMathematics - Exemplar

Evaluate: <a nameMathematics - Board Papers

If <img widMathematics - Board Papers

<span lang="EN-USRD Sharma - Volume 2

Evaluate the follMathematics - Exemplar

<span lang="EN-USRD Sharma - Volume 2

<span lang="EN-USRD Sharma - Volume 2

<span lang="EN-USRD Sharma - Volume 2

Evaluate : <span Mathematics - Board Papers

<span lang="EN-USRD Sharma - Volume 2