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Popular >

integral of sin(x+1)

Solution

\int sin (x + 1) d x

Solution

- cos (x + 1) + C

Solution steps

\int sin (x + 1) 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 + 1

= - cos (x + 1)

Add a constant to the solution

= - cos (x + 1) + C

Popular Examples

integral of (x^2+2x)e^{3x+2}

\int (x^{2} + 2 x) e^{3 x + 2} d x

derivative of 2/(1+x)

\frac{d}{d x} (\frac{2}{1 + x})

(dy)/(dx)=(4x^3+y^3)/(xy^2)

\frac{d y}{d x} = \frac{4 x ^{3} + y ^{3}}{x y ^{2}}

integral from x to 1 of 2(x+y)

\int_{x}^{1} 2 (x + y) d y

(d^8)/(dx^8)((2x+5)^7)

\frac{d ^{8}}{d x ^{8}} ((2 x + 5)^{7})

Frequently Asked Questions (FAQ)

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