HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

`int sqrt(4^x(4^x + 4))  "d"x`

`int 1/(x(x^3 - 1)) "d"x`

If f'(x) = `x - 3/x^3`, f(1) = `11/2` find f(x)

`int ((x^2 + 2))/(x^2 + 1) "a"^(x + tan^(-1_x)) "d"x`

`int (7 + 4x + 5x^2)/(2x + 3)^(3/2) dx`

`int sqrt((9 + x)/(9 - x))  "d"x`

`int 1/(4x^2 - 20x + 17)  "d"x`

`int (sinx)/(sin3x)  "d"x`

`int 1/(2 +  cosx - sinx)  "d"x`

`int sec^3x  "d"x`

`int sin(logx)  "d"x`

`int sec^2x sqrt(tan^2x + tanx - 7)  "d"x`

`int "e"^(sin^(-1_x))[(x + sqrt(1 - x^2))/sqrt(1 - x^2)] "d"x`

`int "e"^x ((1 + x^2))/(1 + x)^2  "d"x`

`int (x^2 + x -1)/(x^2 + x - 6)  "d"x`

`int (6x^3 + 5x^2 - 7)/(3x^2 - 2x - 1)  "d"x`

`int ("d"x)/(2 + 3tanx)`

`int (3x + 4)/sqrt(2x^2 + 2x + 1)  "d"x`

`int x^3tan^(-1)x  "d"x`

`int x sin2x cos5x  "d"x`