integrate sin 1 2x 1 x 2 from 0 to 1

integrate sin 1 2x 1 x 2 from 0 to 1 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

The integral calculator allows you to enter your problem and complete the integration to see the result You can also get a better visual and understanding of the function and area under the Ex 7 6 22 Integrate the function sin 1 2 1 2 Simplifying the given function sin 1 2 1 2 Let tan tan 1 sin 1 2 1 2 sin 1 2 tan 1 tan 2 sin 1 sin 2 2t Ex 7 6 22

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Ex 7 9 3 Evaluate the integrals using substitution 0 1 sin 1 2 1 2 Let I 0 1 sin 1 2 1 2 Put x tan Differentiating w r t tan 2 2 Hence when x If k is odd rewrite sin kx sin k 1 x sin x and use the identity sin 2x 1 cos 2x to rewrite sin k 1 x in terms of cos x Integrate using the

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This calculator computes the definite and indefinite integrals antiderivative of a given function with respect to a variable x Integrate sin x from 0 to 1 Have a question about using Wolfram Alpha Compute answers using Wolfram s breakthrough technology knowledgebase relied on by

Integrate the function in sin 1 2 x 1 x 2 Sum Solution Let I sin 1 2 x 1 x 2 d x Put x tan t dx sec 2 t dt I sin 1 2 tan t 1 tan 2 t sec 2 t d t sin 1 sin 2 t sec 2 t Using Integration by Parts I 1 2 tsint sintdt 1 2 tsint cost c I 1 2 tsint 1 sin2t c Subst back t sin 1 2x and sint 2x I 1 2 2x sin 1 2x 1 4x2 c

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integrate sin 1 2x 1 x 2 from 0 to 1 - Calculator integrates functions using various methods common integrals substitution integration by parts partial fraction decomposition trigonometric hyperbolic logarithmic identities and formulas properties of radicals Euler