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Popular >

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

Popular Examples

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\int ln (x 1 + x^{2}) d x

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\int cos (53 x) d x

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\int csc (\frac{5}{x}) (\frac{1}{x ^{2}}) d x

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\int \frac{3 ^{x} - 2 ^{2 x}}{e ^{x}} d x

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\int e^{\frac{x}{12}} d x

Frequently Asked Questions (FAQ)

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