![Let the be an integrable function defined on [0,a] if I(1)=int(pi//2)^(pi//2) cos theta f(sin theta cos ^(2) theta)d theta and I(2)=int(0)^(pi//2)sin 2 theta f(sin theta cos ^(2) theta)d theta then](https://d10lpgp6xz60nq.cloudfront.net/web-thumb/98742553_web.png "Let the be an integrable function defined on [0,a] if I(1)=int(pi//2)^(pi//2) cos theta f(sin theta cos ^(2) theta)d theta and I(2)=int(0)^(pi//2)sin 2 theta f(sin theta cos ^(2) theta)d theta then")
Let the be an integrable function defined on [0,a] if I(1)=int(pi//2)^(pi//2) cos theta f(sin theta cos ^(2) theta)d theta and I(2)=int(0)^(pi//2)sin 2 theta f(sin theta cos ^(2) theta)d theta then
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![Solved What is the value of d/dx [f^-1 (x)] when x = pi, | Chegg.com](https://d2vlcm61l7u1fs.cloudfront.net/media%2Fa5b%2Fa5b0b3eb-f419-4fc9-b8f5-d8ef89f05e02%2FphpcTi8gK.png "Solved What is the value of d/dx [f^-1 (x)] when x = pi, | Chegg.com")
Solved What is the value of d/dx [f^-1 (x)] when x = pi, | Chegg.com
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![The value of $\\int\\limits_\\pi ^{2\\pi } {[2\\sin x]dx} $ is equal to (where[.] is the G.I.F.)A. $ - \\pi $B. $ - 2\\pi $C. $ - \\dfrac{{5\\pi }}{3}$D. $\\dfrac{{5\\pi }}{3}$](https://www.vedantu.com/question-sets/81a6a607-6f3b-42d1-bdc3-6feedb76da524897162654211039244.png "The value of $\\int\\limits_\\pi ^{2\\pi } {[2\\sin x]dx} $ is equal to (where[.] is the G.I.F.)A. $ - \\pi $B. $ - 2\\pi $C. $ - \\dfrac{{5\\pi }}{3}$D. $\\dfrac{{5\\pi }}{3}$")
The value of $\\int\\limits_\\pi ^{2\\pi } {[2\\sin x]dx} $ is equal to (where[.] is the G.I.F.)A. $ - \\pi $B. $ - 2\\pi $C. $ - \\dfrac{{5\\pi }}{3}$D. $\\dfrac{{5\\pi }}{3}$
![The number of solutions of the equation x+2tanx=π2 in the interval [0, 2π] is :](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/1209939/original_Capture86.JPG "The number of solutions of the equation x+2tanx=π2 in the interval [0, 2π] is :")
The number of solutions of the equation x+2tanx=π2 in the interval [0, 2π] is :
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