integration of 2 log sin x minus log sin 2x

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integration of 2 log sin x minus log sin 2x Free integral calculator solve indefinite definite and multiple integrals with all the steps Type in any integral to get the solution steps and graph

1 Answer vote answered Dec 3 2021 by Tishya 34 6k points Dec 4 2021 by Amayra Best answer Let I I 2 0 2 log sin x log sin 2x dx 0 2 2 l o g s i n x l o g s i n 2 x d x Prev Question Next Question Evaluate Integration problem 169 Find value of integral 2log sin x log sin 2x dx limit 0 to 2We are going to solve this problem using trigonometric identities

integration of 2 log sin x minus log sin 2x

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The Integral Calculator lets you calculate integrals and antiderivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises It helps you practice by showing you the full working step Example 34 Evaluate 0 2 log sin Let I1 0 2 I1 0 2 2 I1 0 2 cos Adding 1 and 2 i e 1 2 I1 I1 0 2 sin 0 2

Integration of 2 log sin x minus log sin 2x Integrate 0 to 2 of 2log sinx log sin2x value of integral 2 log sin x log sin 2x more more This is the solution of example No 7 of Question 3 miscellaneous Chapter4 Definite integration

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Free Integral Calculator helps you solve definite and indefinite integration problems Also double triple and improper integrals Answers graphs alternate forms Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more

The idea is to integrate the principal branch of f z log2 1 e2iz log2 2ieizsinz over the contour below and then let R and 0 First of all 1 e2iz 0 only when z k iy where k is integral and y 0 Thus in the Evaluate the Integral integral of log of 2x with respect to x log 2x dx log 2 x d x Integrate by parts using the formula udv uv vdu u d v u v v d u where u log 2x u log 2

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integration of 2 log sin x minus log sin 2x - Using text 1d from this answer log sin x log 2 sum k 1 infty frac cos 2kx k we get begin align