INDEFINITE INTEGRALS | SOME IMPORTANT INTEGRALS | ` int sqrt(a^2 - x^2) dx = 1/2 x sqrt (a^2 - x^2 ) + 1/2 a^2 sin^-1 (x/a) + c`, `int sqrt(a^2 + x^2) = 1/2 x sqrt (a^2 + x^2) + 1/2 a^2 log ( x + sqrt( a^2 + x^2)) + c`, `int sqrt(x^2 - a^2) = 1/2 x sqrt (x^2 - a^2) - 1/2 a^2 log ( x + sqrt( x^2 - a^2)) + c`, Integral of the form `sqrt (ax^2 + bx + c) dx`, Examples: `int sqrt(x^2 + 2x + 5) dx`, Integral of the form `int(px+q) sqrt(ax^2 + bx + c) dx`, Examples: `int(3x -2) sqrt( x^2 +x+1) dx`