∫cos^−1(4x^3−3x)dx
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( int cos ^{-1}left(4 x^{3}-3 xright) d x )

JEE/Engineering Exams
Maths
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∫cos^−1(4x^3−3x)dx
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( int cos ^{-1}left(4 x^{3}-3 xright) d x )
( Rightarrow operatorname{let} x=cos theta )
( Rightarrow operatorname{ses}^{-1}left(4 cos theta^{3}-3 cos thetaright) )
( Rightarrow int cos ^{-1}(cos 3 theta) )
( Rightarrow 3 theta )
( Rightarrow 3 cos ^{-1} x )

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