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Integration L-10 | IMPORTANT By PARTS QU...

Integration L-10 | IMPORTANT By PARTS QUESTIONS | Class 12 | BOARD | Maths | DGV SIR | MATRIX KOTA

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The formula in which a certain integral involving some parameters in connected with some integrals of lower order is called a reduction formula. In most of the cases the reduction formula is obtained by the process of integrating by parts. Of course, in some cases the methods of differentiation are adopted.Now answer the question:If I_(m,p)=intx^m(a+bx^n)^pdx and I_(m,p)=(x^(m+1)(a+bx^n)^p)/(m+1)-f(m,n,p,b)I_(m+n,p-1) , then the value of f(1,2,3,4) is equal to (A) 8 (B) 10 (C) 12 (D) none of these

A trust invested some money in two type of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received Rs. 2,800 as interest. However, if trust had interchanged money in bonds, they would have got Rs. 100 less than interest. Using matrix method, find the amount invested by the trust. Interest received on this amount will be given to help age India as donation. Which value is reflected in this question?

Which of the following sentences are statement ? Justify your answer : (1) sqrt(5) is a rational number. (2)it is a cold day today. (3)The product of 8 and 2 is 16. (4)how many teachers are there in your school ? (5)the sum of interior angles of a quadrilateral is 360^@ . (6)go to your room. (7)15 is smaller than 12. (8)there are 7 days in a week. (9)the earth revolves around the sun. (10) 16 has two prime factros. (11) the H.C.F. of 15 and 20 is 16. (12)the L.C.M. of 8 and 12 is 24. (13) the three sides of equilateral triangle are equal. (14) New Delhi is the capital of india. (15) six is a prime number. (16) it was Saturday yesterday. (17) the least natural number is one. (18) maths is an easy subject.

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows: 0.03 0.08 0.08 0.09 0.04 0.170.16 0.05 0.02 0.06 0.18 0.200.11 0.08 0.12 0.13 0.22 0.070.08 0.01 0.10 0.06 0.09 0.180.11 0.07 0.05 0.07 0.01 0.04 (i) Make a grouped frequency distribution table for this data with class intervals as 0.00 - 0.04, 0.04 - 0.08, and so on.(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million?