12. 12. Jsinº x sec*x dx 14. The ot...
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12. 12. Jsinº x sec*x dx 14. The otvorila 16. Isect xdx 16.

11th - 12th Class
Maths
Solution
69
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4.0 (1 ratings)
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12) ( int_{-pi / 4}^{pi / 4} sin ^{2} x sec ^{4} x d x ), ( int_{-pi / 4}^{pi / 4} frac{sin ^{2} x}{operatorname{sos}^{2} x} cdot sec ^{2} x d x=int_{-pi / 4}^{1 / 4} tan ^{2} x sec ^{2} x d x ) ( tan x=t ) ( sec ^{2} x d x=d t quad mid begin{array}{l}text { I'mits } x=pi / 4 Rightarrow t=1 x=-pi y_{4} Rightarrow t=-1end{array} ) ( int_{-1}^{1} t^{2} d t=left.frac{t^{3}}{3}right|_{-1} ^{1}=frac{1}{3}+frac{1}{3}=213 ) ( (13)^{pi / 4} sec ^{4} x d x )
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