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Popular Calculus >

integral of t-cos(t)

Solution

\int t - cos (t) d t

Solution

\frac{t ^{2}}{2} - sin (t) + C

Solution steps

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

\int t d t = \frac{t ^{2}}{2}

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

= \frac{t ^{2}}{2} - sin (t)

Add a constant to the solution

= \frac{t ^{2}}{2} - sin (t) + C

Graph

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Frequently Asked Questions (FAQ)

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