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Popular >

integral of 1+cos(t)

Solution

\int 1 + cos (t) d t

Solution

t + sin (t) + C

Solution steps

\int 1 + cos (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 1 d t + \int cos (t) d t

\int 1 d t = t

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

= t + sin (t)

Add a constant to the solution

= t + sin (t) + C

Popular Examples

integral of 2x^3-8/(3x^3)+\sqrt[4]{x^3}

tangent of y=2x^3,(-1,-2)tangent of

y = 2 x^{3}, (- 1, - 2)

integral of tan(y)

\int tan (y) d y

integral of (x^6e^x-4x^5)/(x^6)

\int \frac{x ^{6} e ^{x} - 4 x ^{5}}{x ^{6}} d x

limit as x approaches pi-of (x-pi)csc(x)

x \to π - lim ((x - π) csc (x))

Frequently Asked Questions (FAQ)

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