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Integration of sin x cos x dx can be found using various integration technique like integration by substitution, Integration by partial fraction along with trigonometric identities. The various formula for integration of sin x cos x dx are I \[\int \sin(x) \cos (x)\, dx = -\frac {1}{4} \cos (2x) + C\] II \[\int \sin(x) \cos […]
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For integration of $\log(\sin x)$, we generally consider the definite integral over the interval from 0 to $\pi/2$ To calculate the definite integral of $\log(\sin x)$ from (0) to $\pi/2$, we use a technique involving symmetry and the properties of logarithms. The integral is: \[\int_{0}^{\pi/2} \log(\sin x) \, dx\] Let $I=\int_{0}^{\pi/2} \log(\sin x) \, dx$
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1. Find a place where you go only to study. It should be quiet area .Identify your distractions. Find ways to decrease them or to postpone them until study breaks e.g., taking the phone off the hook, turning off Whatapps. If using a computer, exit out of email and messengers.
2. Always sit straight in a chair at a desk, start out with questions about the material, outline chapters, underline key phrases after reading section, write notes in margins, ask yourself what you have learned.Take good notes of the chapter and revise them also.If you have difficulty understanding any thing ,search it in other books and internet. If it is not resolved,write it down to discuss with Friends and teacher
3) Doing a big task may seems to be impossible to you. So Divide your work into smaller manageable tasks that can be completed in a short period of time. First Push yourself to complete one small task, then move on to the next task. Focus on one small task at a time.
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Things to remember
1) Law of conservation of Momentum. The total momentum for the isolated remains constant
2) Elastic collision: In this collison, Momentum and Kinetic energy of the system remains conserved
3) Inelastic collision: In this collision ,Momentum is conserved only
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1) Find a good study spot .A place with a lot of distractions makes for a poor study area.A quiet place with no distraction would be good study place.
2) Take good Notes. Read through your materials slowly and write down key points. Write down any questions you have about the materials that you can later discuss with your classmates or course instructor.Quiz yourself on the material you have just read. If you struggle with certain questions, make not of these areas for additional study.Summarize the Main Points .Once you have studied the material, see if you can answer these questions: Can you identify the main concepts covere
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Number 30 is a composite number and we will find how to find the factors of 30. We will also see techniques to find out the Prime factorization of 30 easily Factors of 30 A factor of a number is an exact divisor of that number. So factors of 30 are the numbers which are
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Number 16 is a composite number and we will find how to find the factors of 16. We will also see techniques to find out the Prime factorization of 16 easily Factors of 16 A factor of a number is an exact divisor of that number. So factors of 16 are the numbers which are
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Integration of tan inverse x can be calculated using integration by parts .Here is the formula for it \[ \int \tan^{-1}x \, dx = x \tan^{-1}x – \frac {1}{2} \ln (1 + x^2) + C \] where (C) is the constant of integration. Proof of integration of tan inverse x To find the integral we
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