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

Evaluate the following.

`int 1/(x^2 + 4x - 5)  dx`

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

Evaluate the following.

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

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

Solve the following 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.

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

`int dx/((x+2)(x^2 + 1))`    ...(given)

`1/(x^2 +1) dx = tan ^-1 + c`

Write the following statement in symbolic form.

It is not true that `sqrt(2)` is a rational number.

Write the following statement in symbolic form.

4 is an odd number if 3 is not a prime factor of 6.

Cost of Living Index Numbers for the years 2000 and 2005 are 120 and 220, respectively. If a person has monthly earnings of ₹10,800 in year 2000, what should be his monthly earnings in year 2005 in order to maintain same standard of living?

Evaluate the following.

`int x sqrt(1 + x^2)  dx`

The statement ∼(p ↔ ∼q) is ______.

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

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

`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`