HSC Science (Electronics) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

`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`

`int (x + sinx)/(1 - cosx)  "d"x`

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

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

Evaluate:

`int (5e^x)/((e^x + 1)(e^(2x) + 9)) dx`

`int 1/(sinx(3 + 2cosx))  "d"x`

`int xcos^3x  "d"x`

`int (sin2x)/(3sin^4x - 4sin^2x + 1)  "d"x`

`int (3"e"^(2x) + 5)/(4"e"^(2x) - 5)  "d"x`