Home
Class 12
MATHS
Evaluate the following integrals int (1-...

Evaluate the following integrals `int (1-x) sqrtx dx`

Text Solution

Verified by Experts

`int(1-x) sqrtx dx = int (sqrtx-xsqrtx)dx`
=`int (x^(1/2)-x^(3/2)dx = x^(1/2+1)/(1/2+1) -x^(3/2+1)/(3/2+1) +c = x^(3/2)/(3/2) - x^(5/2)/(5/2) +c = (2x^(3/2)/3 - (2x^(5/2)/5 +c`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |134 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|22 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals int (sqrtx - 1/sqrtx)^2 dx

Evaluate the following integrals int (2x^2 + e^x) dx

Evaluate the following integrals int x^2 (1-1/x^2) dx

Evaluate the following integrals int 1/sqrt(1+4x^2) dx

Evaluate the following integrals int 1/(9x^2-1) dx

Evaluate the following integrals int sqrtx (3x^2+2x+3) dx

Evaluate the following integrals: int_2^3 1/x dx

Evaluate the following integrals int (2x-3 cosx +e^x) dx

Evaluate the following integrals: int_-1^1 (x+1) dx