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Popular >

integral of cos(x

Solution

\int cos (d) x d x

Solution

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

Solution steps

\int cos (d) x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Popular Examples

limit as x approaches 0 of 1/(e^x-1)-1/x

x \to 0 lim (\frac{1}{e ^{x} - 1} - \frac{1}{x})

integral of ((x^3-2sqrt(x))/x)

\int (\frac{x ^{3} - 2 x}{x}) d x

tangent of y=-1/(2x^3),(2,-1/16)tangent of

y = - \frac{1}{2 x ^{3}}, (2, - \frac{1}{16})

limit as x approaches 0 of 2xln(1-x^2)

x \to 0 lim (2 x ln (1 - x^{2}))

derivative of (3x+6/(2sqrt(x+3)))

\frac{d}{d x} (\frac{3 x + 6}{2 x + 3})

Frequently Asked Questions (FAQ)

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