HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Evaluate.

`int (5x^2 - 6x + 3)/(2x - 3) dx`

Evaluate `int (1+x+x^2/(2!)) dx`

Evaluate the following

`int x^3/sqrt(1+x^4) dx`

If f ′(x) = 4x³ − 3x² + 2x + k, f(0) = 1 and f(1) = 4, find f(x)

Evaluate the following.

`int(1)/(x^2 + 4x - 5)dx`

Evaluate `int 1/(x(x-1))dx`

Evaluate.

`int (5x^2-6x+3)/(2x-3)dx`

If f'(x) = 4x³- 3x² + 2x + k, f(0) = 1 and f(1) = 4, find f(x).

Evaluate the following.

`int1/(x^2+4x-5) dx`

Evaluate the following.

`intx sqrt(1 +x^2)  dx`

Evaluate the following.

`int x^3 e^(x^2) dx`

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10x + 25x².

Evaluate the following.

`intxsqrt(1+x^2)dx`

Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 12 + 10x + 25x².

The value of `int ("d"x)/(sqrt(1 - x))` is ______.

The cost of living index number using Weighted Relative Method is given by ______.

Evaluate `int(1+x+(x^2)/(2!))dx`

Evaluate the following.

`int x^3/sqrt(1+x^4) dx`

Evaluate the following:

`int (1) / (x^2 + 4x - 5) dx`

Evaluate `int (1 + x + x^2/(2!)) dx`