Science (English Medium) कक्षा १२ - CBSE Question Bank Solutions

Evaluate: `int_(-1)^3 |x^3 - x|dx`

Evaluate: `int_((-π)/2)^(π/2) (sin|x| + cos|x|)dx`

Evaluate `int_0^(π//4) log (1 + tanx)dx`.

Evaluate `int_-1^1 |x^4 - x|dx`.

If `int_0^(2π) cos^2 x  dx = k int_0^(π/2) cos^2 x  dx`, then the value of k is ______.

`int_-1^1 |x - 2|/(x - 2) dx`, x ≠ 2 is equal to ______.

Assertion (A): `int_2^8 sqrt(10 - x)/(sqrt(x) + sqrt(10 - x))dx` = 3.

Reason (R): `int_a^b f(x) dx = int_a^b f(a + b - x) dx`.

The value of `int_0^(π/4) (sin 2x)dx` is ______.

Evaluate: `int_(-π//4)^(π//4) (cos 2x)/(1 + cos 2x)dx`.

Evaluate: `int_0^π x/(1 + sinx)dx`.

For any integer n, the value of `int_-π^π e^(cos^2x) sin^3 (2n + 1)x  dx` is ______.

Evaluate : `int_-1^1 log ((2 - x)/(2 + x))dx`.

Evaluate: `int_0^(π/4) log(1 + tanx)dx`.

Match the following:

Choose the correct option from the following:

Briefly explain the functions of Directing to organize sports event.

Briefly explain the functions of Controlling to organize sports event.

Assertion: Scurvy is caused due to the deficiency of Vitamin C.

Reason: The disease sets in when the diet does not include fresh vegetables and fruits for a long time.

Which one of the following statements is correct?

Make a table of test items listed under fitness test by SAI (Age group 9-18 yrs).

Which of the following factors does NOT determine flexibility?

Briefly explain any two factors determining endurance.