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Popular >

integral of (t+2t^3)

Solution

\int (t + 2 t^{3}) d t

Solution

\frac{t ^{2}}{2} + \frac{t ^{4}}{2} + C

Solution steps

\int t + 2 t^{3} 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 2 t^{3} d t

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

\int 2 t^{3} d t = \frac{t ^{4}}{2}

= \frac{t ^{2}}{2} + \frac{t ^{4}}{2}

Add a constant to the solution

= \frac{t ^{2}}{2} + \frac{t ^{4}}{2} + C

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integral of e^{x^8}

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Frequently Asked Questions (FAQ)

What is the integral of (t+2t^3) ?
The integral of (t+2t^3) is (t^2)/2+(t^4)/2+C