Find the integral of sqrt(x^(2)-a^(2)) w...

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

Verified by Experts

The correct Answer is:

`((x-4))/(2)sqrt(x^(2)-8x+7)-(9)/(2)log(x-4)+sqrt(x^(2)+8x+7)+C`

II PUC MARCH - 2017
OSWAAL PUBLICATION|Exercise PART - E|3 Videos
II PUC MARCH - 2017
OSWAAL PUBLICATION|Exercise PART - C|14 Videos
II PUC JULY -2016
OSWAAL PUBLICATION|Exercise PART-E (V. Answer any ten questions : )|3 Videos
II PUC MARCH-2016
OSWAAL PUBLICATION|Exercise PART - E|2 Videos

Similar Questions

Explore conceptually related problems

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 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 evaluate int1/sqrt(4x^(2)-25)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 evalute int (dx)/sqrt(x^(2)+ 6x - 7) .

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

Find the integral of 1/(sqrt(x^(2)-a^(2))) with respect to x and evaluate int1/(sqrt(x^(2)+6x-7))

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

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