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Popular >

integral of sin(1+x)

Solution

\int sin (1 + x) d x

Solution

- cos (1 + x) + C

Solution steps

\int sin (1 + x) 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 = 1 + x

= - cos (1 + x)

Add a constant to the solution

= - cos (1 + x) + C

Popular Examples

4t(dy)/(dt)+y=t^7

4 t \frac{d y}{d t} + y = t^{7}

(\partial)/(\partial x)((1+2xy^2)^3)

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

(\partial)/(\partial x)(x^{-1/2})

\frac{\partial}{\partial x} (x^{- \frac{1}{2}})

integral of 5/(sqrt(x^2+2x+5))

\int \frac{5}{x ^{2} + 2 x + 5} d x

tangent of f(x)=9+cot(x)-2csc(x),\at x=1 tangent of

f (x) = 9 + cot (x) - 2 csc (x), at x = 1

Frequently Asked Questions (FAQ)

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