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Popular >

integral of cos(1+x)

Solution

\int cos (1 + x) d x

Solution

sin (1 + x) + C

Solution steps

\int cos (1 + x) d x

Apply u-substitution

: \int cos (u) d u

= \int cos (u) d u

Use the common integral:

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

= sin (u)

Substitute back

u = 1 + x

= sin (1 + x)

Add a constant to the solution

= sin (1 + x) + C

Popular Examples

y^{''}+25y=cos(8t)

y^{^{''}} + 25 y = cos (8 t)

derivative of sqrt((3x^{-2)+2/(x^2+8)})

\frac{d}{d x} (\frac{3 x ^{- 2} + 2}{x ^{2} + 8})

derivative of-(-2ln(x+3)/(x^3))

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

inverse oflaplace ((12s+3))/(s^2(2s+8))inverse laplace

\frac{( 12 s + 3 )}{s ^{2} ( 2 s + 8 )}

integral of 1/(-x^{-2)+2x}

\int \frac{1}{- x ^{- 2} + 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of cos(1+x) ?
The integral of cos(1+x) is sin(1+x)+C