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Popular >

integral of sin(x+5)

Solution

\int sin (x + 5) d x

Solution

- cos (x + 5) + C

Solution steps

\int sin (x + 5) d x

Apply u-substitution

: \int sin (u) d u

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = x + 5

= - cos (x + 5)

Add a constant to the solution

= - cos (x + 5) + C

Popular Examples

integral of 3x^2-2x+5

\int 3 x^{2} - 2 x + 5 d x

\int k t d t

limit as x approaches 0 of (e^x)/(x^2-x)

x \to 0 lim (\frac{e ^{x}}{x ^{2} - x})

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

\int \frac{( x - 1 )}{x} d x

derivative of ln(x+sqrt(3+x^2))

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

Frequently Asked Questions (FAQ)

What is the integral of sin(x+5) ?
The integral of sin(x+5) is -cos(x+5)+C