What is the integral of (sin(x)sqrt(x))/(sqrt(x)) ?

The integral of (sin(x)sqrt(x))/(sqrt(x)) is -cos(x)+C

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integral of (sin(x)sqrt(x))/(sqrt(x))

\int \frac{sin ( x ) x}{x} d x

- cos (x) + C

Solution steps

\int \frac{sin ( x ) x}{x} d x

Cancel the common factor:

x

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

(3 x^{2} + 3) (2 x^{2} + 1)

\int - \frac{y}{x ^{2} + y ^{2}} d x

x \to 2 lim (x^{3} - 8)

y^{^{'}} (t) = (y + 1) (y - 1), y (0) = 3

\frac{d y}{d x}, (2 x + 3)^{4} = 3 y^{4}

What is the integral of (sin(x)sqrt(x))/(sqrt(x)) ?
The integral of (sin(x)sqrt(x))/(sqrt(x)) is -cos(x)+C