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Popular >

integral of t^5-7t

Solution

\int t^{5} - 7 t d t

Solution

\frac{t ^{6}}{6} - \frac{7 t ^{2}}{2} + C

Solution steps

\int t^{5} - 7 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^{5} d t - \int 7 t d t

\int t^{5} d t = \frac{t ^{6}}{6}

\int 7 t d t = \frac{7 t ^{2}}{2}

= \frac{t ^{6}}{6} - \frac{7 t ^{2}}{2}

Add a constant to the solution

= \frac{t ^{6}}{6} - \frac{7 t ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of t^5-7t ?
The integral of t^5-7t is (t^6)/6-(7t^2)/2+C