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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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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Integration of cos inverse x can be calculated using integration by parts ,integration by substitution .Here is the formula for it \[ \int \cos^{-1}x \, dx = x \cos^{-1}x – \sqrt{1 – x^2} + C \] where (C) is the constant of integration. Proof of integration of cos inverse x We can prove it using
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Integration of sin inverse x can be calculated using integration by parts ,integration by substitution .Here is the formula for it \[ \int \sin^{-1}x \, dx = x \sin^{-1}x + \sqrt{1 – x^2} + C \] where (C) is the constant of integration. Proof of integration of sin inverse x We can prove it using
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Number 25 is a composite number and we will find how to find the factors of 25. We will also see techniques to find out the Prime factorization of 25 easily Factors of 25 A factor of a number is an exact divisor of that number. So factors of 25 are the numbers which are
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