Home
Class 12
MATHS
Evaluate the following : int(0)^(1)(x...

Evaluate the following :
`int_(0)^(1)(x^(5))/(sqrt(1-x^(2)))dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ \int_{0}^{1} \frac{x^5}{\sqrt{1-x^2}} \, dx, \] we can use a substitution method. Let's follow the steps: ...
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice|66 Videos
  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 14.2 PROPERTIES OF DEFINITE INTEGRALS|4 Videos
  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos
  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)(x^(4))/(sqrt(1-x^(5)))dx

int_(0)^(1)(log x)/(sqrt(1-x^(2)))dx

Evaluate the following : int_(0)^(1)(dx)/(x+sqrt(1-x^(2))).

Evaluate the following : int_(0)^(1)(1)/(sqrt(3+2x-x^(2)))dx

Evaluate the following : int_(0)^(1)x^(2)sqrt(x^(3)+1)dx

int_(0)^(1)x^(2)sqrt(1-x^(2))dx=

Evaluate the following : int_(0)^(a)x^(2)sqrt(1-x)dx

Evaluate the following : int_(0)^(1)x.sqrt((1-x^(2))/(1+x^(2)))dx

Evaluate the following : int_(0)^(1)((sin^(-1)x)^(2))/(sqrt(1-x^(2)))dx

Evaluate the following : int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2))) .