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INDEFINITE INTEGRALS | SOME SPECIAL INTE...

INDEFINITE INTEGRALS | SOME SPECIAL INTEGRALS | `int 1/ (x^2 + a^2) dx = 1/a tan^-1 (x/a) + c`, `int 1/(x^2 - a^2) dx = 1/( 2a) log ((x-a) /( x+a)) + c`, `int 1/( a^2 - x^2) dx = 1 / (2a) log ( (a + x) /( a - x) ) +c`, `int 1/ sqrt ( a^2 - x^2) = sin^-1 (x/a) + c`, `int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c`, `int 1/ sqrt ( x^2 - a^2) = log ( x+ sqrt( x^2 - a^2)) + c`, Integral of type `1/ (ax^2 + bx + c) dx`, Examples: `1 / (2x^2 + x - 1) dx`, Integral reducible to form: `1/(ax^2 + bx + c) dx`, Examples: `int x / (x^4 + x^2 + 1) dx`

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