Evaluate the following integrals. int_-2^-1sqrt(-4x-x^2)dx

Alyce Wilkinson 2021-02-16 Answered
Evaluate the following integrals.
214xx2dx
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Liyana Mansell
Answered 2021-02-17 Author has 97 answers
Step 1: Given that
Evaluate the following integrals.
214xx2dx
Step 2: Formula Used
(a2x2)=x2a2x2+a22sin1(xa)+C
Step 3: Solve
We have,
214xx2dx=21(4x+x2)dx
=21(4x+x2+44)dx
=21((x+2)2)dx
=214(x+2)2dx
=21(2)2(x+2)2dx
=[x+224(x+2)2+42sin1(x+22)]21
=[1+224(1+2)2+2sin1(1+22)(2+22)4(2+2)22sin1(2+22)]
=[1241+2sin1(12)00]
=32+2sin1(sinπ6)
=32+2×
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more