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Popular Calculus >

integral of (1+t^2)

Solution

\int (1 + t^{2}) d t

Solution

t + \frac{t ^{3}}{3} + C

Solution steps

\int 1 + t^{2} 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 t^{2} d t

\int 1 d t = t

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

= t + \frac{t ^{3}}{3}

Add a constant to the solution

= t + \frac{t ^{3}}{3} + C

Graph

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integral of 1/(x*(x+1))

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Frequently Asked Questions (FAQ)

What is the integral of (1+t^2) ?
The integral of (1+t^2) is t+(t^3)/3+C