int sin ^{2} x d x

Question

int sin ^{2} x d x

Accepted Answer

Step:1 ：Given the integral of (sin^2 x)Step:2 ：We can solve this using the power-reduction identity. The power-reduction identity for (sin^2 x) is (sin^2 x = frac{1 - cos(2x)}{2})Step:3 ：Substitute this into the integral and then solveStep:4 ：(x = x)Step:5 ：Integral = (frac{x}{2} - frac{sin(2x)}{4})Step:6 ：The integral of (sin^2 x) is (frac{x}{2} - frac{sin(2x)}{4})Step:7 ：Final Answer: (boxed{frac{x}{2} - frac{sin(2x)}{4}})

Answer

Step: 1 ：Given the integral of (sin^2 x)Step: 2 ：We can solve this using the power-reduction identity. The power-reduction identity for (sin^2 x) is (sin^2 x = frac{1 - cos(2x)}{2})Step: 3 ：Substitute this into the integral and then solveStep: 4 ：(x = x)Step: 5 ：Integral = (frac{x}{2} - frac{sin(2x)}{4})Step: 6 ：The integral of (sin^2 x) is (frac{x}{2} - frac{sin(2x)}{4})Step: 7 ：Final Answer: (boxed{frac{x}{2} - frac{sin(2x)}{4}})

$\int \sin ^{2} x d x$

Answer

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