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Popular >

integral of 2+sin(t)

Solution

\int 2 + sin (t) d t

Solution

2 t - cos (t) + C

Solution steps

\int 2 + sin (t) d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d t + \int sin (t) d t

\int 2 d t = 2 t

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

= 2 t - cos (t)

Add a constant to the solution

= 2 t - cos (t) + C

Popular Examples

integral of 1/(-4+x^2)

\int \frac{1}{- 4 + x ^{2}} d x

integral of e^{x/a}+e^{-x/a}

\int e^{\frac{x}{a}} + e^{- \frac{x}{a}} d x

integral of x(2sin(x)+4sin^2(x))

\int x (2 sin (x) + 4 sin^{2} (x)) d x

integral of e^{8x-8}

\int e^{8 x - 8} d x

integral of (e^x)/(2e^x+4)

\int \frac{e ^{x}}{2 e ^{x} + 4} d x

Frequently Asked Questions (FAQ)

What is the integral of 2+sin(t) ?
The integral of 2+sin(t) is 2t-cos(t)+C