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

Evaluate the following.

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

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

Evaluate the following.

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

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

Find the rate of change of demand (x) of a commodity with respect to its price (y) if `y=12+10x+25x^2`

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

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

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

Evaluate the following.

`intx^3/sqrt(1 + x^4)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.

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

Evaluate `int1/(x(x - 1))dx`

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

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

Evaluate the following.

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

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