Question

please solve this question of maths class 12 ... ✌​

Answer 1

Answer:

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Step-by-step explanation:

∫︎cosxdx/(4+sin²x)(1+4(1-cos²x)) =

∫︎cosxdx/(4+sin²x)(1+4sin²x) =

∫︎du/(4+u²)(1+4u²) =

∫︎du/(4+5u²+4u⁴︎) =

∫︎.25du/(1+1.25u²+u⁴︎) =

∫︎.25du/(1–(⁵︎/₈︎)²+(⁵︎/₈︎)²+(⁵︎/₄︎)u²+u⁴︎) =

∫︎.25du/(1-(⁵︎/₈︎)²+(⁵︎/₈︎+u)²) =

∫︎.25du/(³⁹︎/₆︎₄︎+(⁵︎/₈︎+u)²)

∫︎.25dv/(³⁹︎/₆︎₄︎+v²)

∫︎.25(⁶︎⁴︎/₃︎₉︎)dv/(1+v²(⁶︎⁴︎/₃︎₉︎))

∫︎.25(⁶︎⁴︎/₃︎₉︎)dv/(1+(8v/√︎39)²)

∫︎.25(⁸︎/√︎₃︎₉︎)dt/(1+t²)

2arctan(t)/√︎39

Answer 2

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