Maths 12 Science Integrals CBSE Solutions for MCQ in English to enable students to get Solutions in a narrative video format for the specific question.

Expert Teacher provides Maths 12 Science Integrals CBSE Solutions for MCQ through Video Solutions in English language. This video solution will be useful for students to understand how to write an answer in exam in order to score more marks. This teacher uses a narrative style for a question from Integrals not only to explain the proper method of answering question, but deriving right answer too.

Please find the question below and view the Solution in a narrative video format.

** Question:**

** Solution Video in** **English****:**

**Question 1** : Write an antiderivative for the function, using the method of inspection. (View Answer Video)

**Question 2** : Evaluate : (View Answer Video)

**Question 3** : Write the value of: (View Answer Video)

**Question 4** : Find : (View Answer Video)

**Question 5** : Find the integral of the function . (View Answer Video)

**Question 1** : In a group of 30 scientists workings on an experiment, 20 never commit error in their work and are reporting results elaborately. Two scientists are selected at random from the group. Find the probability distribution of the number of selected scientists who never commit error in work and reporting. Also find the mean of the distribution. What values are described in this question? (View Answer Video)

**Question 2** : A class has 15 students whose ages are 14, 17, 15, 14, 21, 17, 19, 20, 16, 18, 20, 17, 16, 19 and 20 years. One student is selected in such a manner that each has the same chance of being chosen and the age X of the selected student is recorded. What is the probability of the random variable X? Find the mean. (View Answer Video)

**Question 3** : Assume that the chances of a patient having a heart attack are 40%. Assume that a meditation and yoga course reduces the risk of heart attack by 30% and the prescription of certain drugs and certain restrictions reduces the risk by 25%. At a time, a patient choses only one of the two options with equal probabilities. After going through one of the two options, the patient is selected at random who is suffering from a heart attack. Find the probability that the patient followed a course of meditation and yoga. Write the value referred here. (View Answer Video)

**Question 4** : A couple has 2 children. Find the probability that both are boys, if it is known that the older child is boy. (View Answer Video)

**Question 5** : If P(A)=, P(B)= and =, find . (View Answer Video)

**Question 1** : Write the vector equation of a line passing through the point (1, -1, 2) and parallel to the line whose equations are, (View Answer Video)

**Question 2** : If lines and intersect, then find the value of k and hence find the equation of plane containing these lines. (View Answer Video)

**Question 3** : Find the direction cosines of the line (View Answer Video)

**Question 4** : Write the sum of intercepts cut off by the plane on the three axes. (View Answer Video)

**Question 5** : If a line makes angles with the positive direction of co-ordinate axes, then write the value of (View Answer Video)

**Question 1** : The line is a tangent to the curve at the point. (View Answer Video)

**Question 2** : Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum. (View Answer Video)

**Question 3** : The total cost C(x) (in Rs) associated with the production of 'x' units of an item is given by :

C (x)=0.005x^{3}-0.02x^{2}+30x+5000.

Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output. (View Answer Video)

**Question 4** : A balloon, which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 cm. (View Answer Video)

**Question 5** : The line y=mx+1 is a tangent to the curve if the value of m is ________. (View Answer Video)