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Popular >

integral of x-cos(x)

Solution

\int x - cos (x) d x

Solution

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

Solution steps

\int x - cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int x d x = \frac{x ^{2}}{2}

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

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

Add a constant to the solution

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

Graph

Popular Examples

inverse oflaplace e^{-s}((s^2+2))/(s^3)inverse laplace

e^{- s} \frac{( s ^{2} + 2 )}{s ^{3}}

integral of 1/(y+y^3)

\int \frac{1}{y + y ^{3}} d y

(\partial)/(\partial x)(1(x-y)e^{1y+3x^2})

\frac{\partial}{\partial x} (1 (x - y) e^{1 y + 3 x^{2}})

derivative of f(x)=(64)/((1+4x)^3)derivative of

f (x) = \frac{64}{( 1 + 4 x ) ^{3}}

y^'=cos^2(x)cos^2(2y)

y^{^{'}} = cos^{2} (x) cos^{2} (2 y)

Frequently Asked Questions (FAQ)

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