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Evaluate : int x " sin"^(2) " x dx "...

Evaluate : ` int x " sin"^(2) " x dx "`

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To evaluate the integral \( \int x \sin^2 x \, dx \), we can follow these steps: ### Step 1: Rewrite \( \sin^2 x \) We can use the identity for \( \sin^2 x \): \[ \sin^2 x = \frac{1 - \cos(2x)}{2} \] Thus, we can rewrite the integral as: ...
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Knowledge Check

  • Evaluate int 2 sin(x)dx .

    A
    0
    B
    `(1)/(3)`
    C
    `(2)/(3)`
    D
    2
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