Recent questions in Class12

Integrate : $\int \cos (\sin x)dx$

asked Jan 2, 2014 by meena.p

1 answer

If A and B are two events such that $ P ( A \cup B) = \large\frac{5}{6}, \: P ( A \cap B ) = \large\frac{1}{3} \: and \: P(B') = \large\frac{1}{2}$ then events A and B are

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A and B are two horses. The probability of A winning a race is $ \large\frac{1}{3}$ and that of horse B winning the same race, is $ \large\frac{1}{5}$. The probability that none of them will win is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{7}{5}$$ \log _e(\large e^{x^3}) dx$

asked Jan 2, 2014 by meena.p

1 answer

Two fair dice are tossed once. The probability of getting an even number on the first die or a total of 8 is

asked Jan 2, 2014 by thanvigandhi_1

2 answers

Integrate : $\int \large\frac{x^5 +x^3+1}{x^2}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

There are 9999 tickets bearing numbers 0001, 0002, ..... 9999. If one ticket is selected from these tickets at random, the probability that the number on the ticket will consists of all different digits is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Three coins are tossed. The probability that not more than two coins will fall with head upwards is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $\int \large\frac{\cos \sqrt x }{\sqrt x }$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int e^{2x} \cos 5x dx$

asked Jan 2, 2014 by meena.p

1 answer

In a throw of two coins, the probability of getting both heads or both tails is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A bag contains tickets numbered 1 to 20. Two tickets are drawn from the bag. The probability that both the numbers appearing on the tickets drawn will be prime is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

$\int \large\frac{2x^2+3}{(x^2-1)(x^2+4)}$$dx=a \log \bigg(\large\frac {x+1}{x-1} \bigg)+6 \tan ^{-1} \bigg( \large\frac{x}{2}\bigg)+c$ find the value of a and b?

asked Jan 2, 2014 by meena.p

1 answer

Integrate : $\int \sqrt x .e^{\sqrt x} dx $

asked Jan 2, 2014 by meena.p

1 answer

An urn contains 10 blue and 6 red balls. 3 balls are drawn from the urn. The probability that at least two of the balls drawn will be red is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A coin is tossed thrice. The probability of getting head at least once is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate: $\int \large\frac{x^3 \sin ^{-1}(x^2)}{\sqrt {1-x^4}}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

A bag contains 5 black and 3 white balls. Two balls are drawn from the bag at random and without replacement. The probability of obtaining both white balls is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A family has 4 children. A child is selected at random from the family. Assuming that there are equal number of boys and girls in the family, the probability that the selected child is a girl is

asked Jan 2, 2014 by thanvigandhi_1

1 answer

A fair die is tossed once. The probability that either an even number or 3 will appear

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Two fair coins are tossed. What is the probability that at least one head occurs.

asked Jan 2, 2014 by thanvigandhi_1

1 answer

Integrate : $ \int \cos^{-1} \sqrt {\large\frac{x}{a+x}}$$dx$

asked Jan 2, 2014 by meena.p

1 answer

Integrate: $\int \cos^{-1} (-3x +4x^3)dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int x\bigg( \large\frac{\sec 2x -1}{\sec 2x+1}\bigg) dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \log _a x dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{5-4 \sin x} $$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\Large\frac{\sqrt 3}{2} \sin x + \cos x }$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\sin 4x}{\sqrt {8+\sin ^4 2x}}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate: $\int \large\frac{1}{x \sqrt {x\log (x^2) -5}}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{4x^2-6x+7}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{\sqrt x -\sqrt {x- 8 }}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate: $\int (2x-7) \sqrt {5x+2} dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \cos ^{-1} \bigg(\large\frac{1-\tan^2 x}{1+\tan^2x}\bigg) $$dx$

asked Dec 31, 2013 by meena.p

1 answer

$f(x) =\int \large\frac{x^6+1}{x^2+1}$$dx+c,$ then find $f(0)-C=?$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int e^x \large\frac{(x+6)}{(x+7)^2}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{1}{(\log_ex)^2+1}$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int x^{\tan x }\bigg[\large\frac{\tan x}{x} $$+ \sec^2 x . \log x \bigg]$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3x^2+5}{(x^2+1)(x^2+4)}$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{x . \sin x}{1+ \cos x}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \limits_0^1 (x^3-x^2-x-1) . \sin x dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $ \int \limits_0^1 x^4.e^x.dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3x}{(x+1)(x+2)}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{dx}{(x-p) \sqrt {(x-p)} \sqrt {x-q}}$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos x - \sin x}{\sqrt {\sin 2x}}$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{3}{7} .\frac{2^{\Large \log e^{x^2}}}{x}.$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $\int \large\frac{\cos^2 x}{\sin ^4 x }$$dx$

asked Dec 31, 2013 by meena.p

1 answer

Integrate : $ \int \large\frac{7}{3} \bigg( \frac{1}{x}-\frac{1}{x^2 }\bigg)$$ \times a (\log x + \large\frac{1}{x} ) $$dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int e^x \bigg( \sin ^{-1} x +\large\frac{1}{\sqrt {1-x^2}}\bigg) dx $

asked Dec 30, 2013 by meena.p

1 answer

Integrate: $\int -cosec ^2 (\log x ) + \cot (\log x) dx$

asked Dec 30, 2013 by meena.p

1 answer

Integrate : $\int e^x. \bigg[\large\frac{1- \sin x}{1- \cos x }\bigg].$$dx$

asked Dec 30, 2013 by meena.p

1 answer

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