HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find k if the equations x + y + z = 1, 3x – y – z = 4, x + 5y + 5z = k are inconsistent

Integrate the following with respect to x.

`sqrt(3x + 5)`

Integrate the following with respect to x.

`(9x^2 - 4/x^2)^2`

Integrate the following with respect to x.

(3 + x)(2 – 5x)

Integrate the following with respect to x.

`sqrt(x)(x^3 - 2x + 3)`

Integrate the following with respect to x.

`(8x + 13)/sqrt(4x + 7)`

Integrate the following with respect to x.

`1/(sqrt(x + 1) + sqrt(x - 1))`

Integrate the following with respect to x.

If f'(x) = x + b, f(1) = 5 and f(2) = 13, then find f(x)

Integrate the following with respect to x.

If f'(x) = 8x³ – 2x and f(2) = 8, then find f(x)

Integrate the following with respect to x.

`(sqrt(2x) - 1/sqrt(2x))^2`

Integrate the following with respect to x.

`(x^4 - x^2 + 2)/(x - 1)`

Integrate the following with respect to x.

`x^3/(x + 2)`

Integrate the following with respect to x.

`(x^3 + 3x^2 - 7x + 11)/(x + 5)`

Integrate the following with respect to x.

`(3x + 2)/((x - 2)(x - 3))`

Integrate the following with respect to x.

`(4x^2 + 2x + 6)/((x + 1)^2(x - 3))`

Integrate the following with respect to x.

`(3x^2 - 2x + 5)/((x - 1)(x^2 + 5))`

Integrate the following with respect to x.

If f'(x) = `1/x` and f(1) = `pi/4`, then find f(x)

Integrate the following with respect to x.

`"e"^(xlog"a") + "e"^("a"log"a") - "e"^("n"logx)`

Integrate the following with respect to x.

`("a"^x - "e"^(xlog"b"))/("e"^(x log "a") "b"^x)`

Integrate the following with respect to x.

`("e"^x + 1)^2 "e"^x`