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The differentiation of (\sin(x)) with respect to (x) is a fundamental concept in calculus. The derivative of (\sin(x)) is given by: \[\frac{d}{dx}(\sin(x)) = \cos(x).\] This result is derived from the limit definition of the derivative and is a key part of the differentiation rules for trigonometric functions. The cosine function, $\cos(x)$, represents the rate of […]
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Integration of cosec x 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 cosec x are I \[\int \csc(x) \, dx = \ln | \csc(x) – \cot(x) | + C\] II \[\int \csc(x) \, dx = -\ln | \csc(x)
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Number 60 is a composite number and we will find how to find the factors of 60. We will also see techniques to find out the Prime factorisation of 60 easily Factors of 60 A factor of a number is an exact divisor of that number. So factors of 60 are the numbers which are
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The integral of the sine function, $ \sin x$, can be found using basic calculus principles. The integral of $\sin x$ with respect to (x) is: \[\int \sin x \, dx = -\cos x + C\] Here, (C) represents the constant of integration, which is added because the process of integration determines the antiderivative up
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Number 15 is a composite number and we will find how to find the factors of 15. We will also see techniques to find out the Prime factorisation of 15 easily Factors of 15 A factor of a number is an exact divisor of that number. So factors of 15 are the numbers which are
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Here are some good Maths important questions for Class 12 Board 2024 Question (1) The x-coordinate of a point on the line joining the points P(2, 2, 1) and Q(5, 1, – 2) is 4. Find its z-coordinate Question (2) Write the principle value of tan-1(1) +cos-1(-1/2) Question (3)A fair coin is tossed 8 times,
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Here is the Integration Formulas List. The formula list is divided into below sections a. Basic integration formulas b.Integration formulas for Trigonometric Functions c. Integration formulas Related to Inverse Trigonometric Functions d. Algebra of integration e. Integration by Substitution f. Special Integrals Formula g. Integration by Parts h. Some special Integration Formulas derived using Parts
Adding fractions with different denominators In this article, we will learn how to add fractions with different denominators. Adding fractions with the same denominator is straightforward. When the denominators are different, a common denominator must be found before the fractions can be added. Once the common denominator is found, the fractions can be expressed in
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