Home
Class 12
MATHS
Find the integral of sqrt( x^(2) + a^(2)...

Find the integral of `sqrt( x^(2) + a^(2) )` with respect to x and hence evaluate `int sqrt( x^(2) + 4x+ 6) dx`

Text Solution

Verified by Experts

The correct Answer is:
`= (x+2)/( 2) sqrt( x^(2) + 4x+6) + log | (x+2)+ sqrt(x^(2) + 4x+6) | +C`
Promotional Banner

Topper's Solved these Questions

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - E (Answer any one question).|4 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY- 2015

    SUNSTAR PUBLICATION|Exercise PART - C (Answer any ten questions)|14 Videos
  • SUPPLEMENTARY EXAM QUESTION PAPER JULY -2014

    SUNSTAR PUBLICATION|Exercise PART -E|4 Videos

Similar Questions

Explore conceptually related problems

Find the integral of sqrt(x^(2)-a^(2)) with respect to x and hence evaluate intsqrt(x^(2)-8x+7d)x .

Find the integral of sqrt(a^(2) - x^(2)) with respect to x and hence evaluate int sqrt (5 -x^(2) +2x) dx.

Find the integral of sqrt(a^(2)+x^(2)) with respect to x and hence evaluate int sqrt(1+x^(2))dx

Find the integral of 1/sqrt(x^(2)-a^(2)) with respect to x and hence evaluate int1/sqrt(4x^(2)-25)dx .

Find the integral of 1/ sqrt(x^(2)- a^(2)) with respect to x and hence evalute int (dx)/sqrt(x^(2)+ 6x - 7) .

Find the integral of sqrt(x^(2) + a^(2)) with respect to x and evaluate int sqrt(4x^(2) + 9) dx .

Find the integral of sqrt(a^(2)+x^(2)) with respect to x and hence evaluate intsqrt(1+x^(2))dx

Find the integral of 1/sqrt(x^2-a^2) with respect to x and hence evalute int1/sqrt(x^2-2x)dx

Find the integral of (1)/(sqrt(x^(2)+a^(2))) with respect to x and hence evaluate int(1)/(sqrt(x^(2)+7))dx