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Evaluate _0^ 2 ^2x ^2x+4 ^2x ,dx.
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
∫
0
π
2
cos
2
x
cos
2
x
+
4
sin
2
x
d
x
.
\int_0^{\frac{\pi}{2}}\frac{\cos^2x}{\cos^2x+4\sin^2x}\,dx.
∫
0
2
π
cos
2
x
+
4
sin
2
x
cos
2
x
d
x
.
Related theory
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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