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Popular >

integral of 3sin(x

Solution

\int 3 sin (d) x d x

Solution

\frac{3}{2} x^{2} sin (d) + C

Solution steps

\int 3 sin (d) x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 sin (d) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 3 sin (d) \frac{x ^{2}}{2}

Simplify

3 sin (d) \frac{x ^{2}}{2} : \frac{3}{2} x^{2} sin (d)

= \frac{3}{2} x^{2} sin (d)

Add a constant to the solution

= \frac{3}{2} x^{2} sin (d) + C

Graph

Popular Examples

integral from-1 to 3 of (-x)^3

\int_{- 1}^{3} (- x)^{3} d x

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g (x) = x^{2} (1 - 6 x)

integral of x(4-x)^2

\int x (4 - x)^{2} d x

derivative of 14xsin(x)

\frac{d}{d x} (14 x sin (x))

derivative of (-2x+y/(-x+2y))

\frac{d}{d x} (\frac{- 2 x + y}{- x + 2 y})

Frequently Asked Questions (FAQ)

What is the integral of 3sin(x ?
The integral of 3sin(x is 3/2 x^2sin(d)+C