I=12(π4−0)=π8. Final Answer Thus, the value of the integral is: π8. | ShareSave Class 12MATHSINTEGRALS Topper's Solved these Questions INTEGRALSBook:NCERT ENGLISHChapter:INTEGRALSExercise:EXERCISE 7.7 Explore14Videos Doubtnut is No.1 Study App and Learning App with Instant Video Solution...
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The functions that could have provided function as a derivative are called antiderivatives (or primitive). The formula that gives all these antiderivatives is called theindefinite integralof the function. And such a process of finding antiderivatives is called integration. ...
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Approximation of functions from the class Formula Not Shown by Poisson integrals in the uniform metricZhyhalloT. V.KharkevychY. I.UKRAINIAN MATHEMATICAL JOURNAL C/C OF UKRAINSKII MATEMATICHESKII ZHURNAL
and references therein. the theory of rough paths establishes a convenient tool to extend stochastic calculus with respect to a large class of integrators out of range of semimartringales. namely, one can consider a stochastic integration with respect to integrators such as the mandelbrot fractional...
and creating a closed contour in the complex plane, one may map all the rules of the method of bracket to the cauchy integral formula. in high energy particle physics, in order to solve integro-differential equations representing evolution of important physical quantities, the transformation to ...
Hereafter, mathematicians have made great contributions to the study of HH-type inequalities under various fractional integrals. For example, one can refer tok-fractional integrals [5], to(k,s)-RL-fractional integrals [6], toΦk-RL-fractional integrals [7], to a class of generalized RL-fract...
for (where is the Gamma function) are also quite commonly used, and fundamental exact integration rules such as the change of variables formula, the Fubini-Tonelli theorem or integration by parts are all esssential tools for an analyst trying to prove estimates. Because of this, it is often ...
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