Home
Class 12
MATHS
Evaluate : int (2x^3+5x^2+4)/(sqrt(x)dx...

Evaluate : `int (2x^3+5x^2+4)/(sqrt(x)`dx

Text Solution

Verified by Experts

I=`int (2x^3+5x^2+4)/(sqrt(x)`dx
I=`int (2x^(5/2)+5x^(3/2)+4/sqrt(x))`dx
=`2 x^(7/2)/(7/2)+5x^(5/2)/(5/2)+4(2)sqrt(x)`
=`4/7 x^(7/2)+2/25 x^(5/2)+8sqrt(x)`
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate int(2x^(2)+5x+4)/(sqrt(x^(2)+x+1))dx .

Evaluate int (x^(2)+5x-1)/(sqrt(x))dx

Evaluate: int(x^(3)+5x^(2)-4+7/x+2/sqrt(x)) dx

Evaluate : int(x+2)/(sqrt(4x-x^(2)))dx

Evaluate: int(2x+3)/(sqrt(x^2+4x+5))\ dx

Evaluate : int ( 5_sqrt(x^2) ) dx

Evaluate : int(dx)/(sqrt(5x+4x-x^(2)))

Evaluate: int_(0)^(4)(1)/(x+sqrt(x))dx( ii) int_(0)^(1)(2x)/(5x^(2)+1)dx

Evaluate: int(5x+3)/(sqrt(x^(2)+4x+10))dx

Evaluate : (i) int((x-1))/(sqrt(x+4))dx (ii) intxsqrt(x+2)dx (iii) f(4x-2)sqrt(x^(2)+x++1)dx (iv) int((4x+3))/(sqrt(2x^(2)+3x+1))dx