What is the integral of sin(x+pi/4) ?

The integral of sin(x+pi/4) is -cos(x+pi/4)+C

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integral of sin(x+pi/4)

\int sin (x + \frac{π}{4}) d x

- cos (x + \frac{π}{4}) + C

Solution steps

\int sin (x + \frac{π}{4}) d x

Apply u-substitution

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = x + \frac{π}{4}

= - cos (x + \frac{π}{4})

Add a constant to the solution

= - cos (x + \frac{π}{4}) + C

\int \frac{1}{e ^{π}} d x

\int_{0}^{\frac{π}{3}} x sin (2 x) d x

in v erse l a pl a ce \frac{1}{( s + 1 ) ^{3}}

n = 1 \sum \infty \frac{2}{n ^{\frac{3}{2}}}

x y^{2} y^{^{'}} = x + 1

What is the integral of sin(x+pi/4) ?
The integral of sin(x+pi/4) is -cos(x+pi/4)+C