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(Solved): Halle la integral indefinida: (x2csc2x)dx a. 3x3lncsc2xcot2x ...

$Halle la integral indefinida: \[ \int\left(x^{2}-\csc \frac{x}{2}\right) d x \] a. \[ \frac{x^{3}}{3}-\ln \left|\csc \frac{x}$

Halle la integral indefinida:

\int (x^{2} - csc \frac{x}{2}) d x

a.

\frac{x ^{3}}{3} - ln ∣ ∣ csc \frac{x}{2} - cot \frac{x}{2} ∣ ∣ + C

b.

\frac{x ^{3}}{3} + 2 csc \frac{x}{2} cot \frac{x}{2} + C

c.

\frac{x ^{3}}{3} - ln ∣ ∣ csc \frac{x}{2} + cot \frac{x}{2} ∣ ∣ + C

d.

\frac{x ^{3}}{3} + 2 ln ∣ ∣ csc \frac{x}{2} + cot \frac{x}{2} ∣ ∣ + C

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Expert Answer

Given integral is

Split the single integral into multiple integrals.

By the Power Rule, the integral of with respect to is .

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