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Popular >

integral of sin(x

Solution

\int sin (d) x d x

Solution

\frac{1}{2} x^{2} sin (d) + C

Solution steps

\int sin (d) x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

sin (d) \frac{x ^{2}}{2} : \frac{1}{2} x^{2} sin (d)

= \frac{1}{2} x^{2} sin (d)

Add a constant to the solution

= \frac{1}{2} x^{2} sin (d) + C

Popular Examples

derivative of (x^3+1/(x^3-1))

\frac{d}{d x} (\frac{x ^{3} + 1}{x ^{3} - 1})

integral of (x-1)sqrt(2-x)

\int (x - 1) 2 - x d x

limit as x approaches 3 of (f(x)-f(pi))/(sqrt(x)-\sqrt{3)}

x \to 3 lim (\frac{f ( x ) - f ( π )}{x - 3})

integral of (sqrt(x)-x+1)/(x^5)

\int \frac{x - x + 1}{x ^{5}} d x

integral from-infinity to infinity of x^8e^{-x^9}

\int_{- \infty}^{\infty} x^{8} e^{- x^{9}} d x

Frequently Asked Questions (FAQ)

What is the integral of sin(x ?
The integral of sin(x is 1/2 x^2sin(d)+C