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Popular >

integral of (1+x^2)/1

Solution

\int \frac{1 + x ^{2}}{1} d x

Solution

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

Solution steps

\int \frac{1 + x ^{2}}{1} d x

Simplify

= \int 1 + x^{2} d x

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 x + \int x^{2} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Graph

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integral of (v^2)/(1+v^2)

\int \frac{v ^{2}}{1 + v ^{2}} d v

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\int \frac{1}{x x ^{2} - 400} d x

integral of (x^2+4)/(x^3)

\int \frac{x ^{2} + 4}{x ^{3}} d x

integral of x^3e^{x^2}integral

x^{3} e^{x^{2}}

integral of (6x^2+5x+4)/((1+x)(1+4x^2))

\int \frac{6 x ^{2} + 5 x + 4}{( 1 + x ) ( 1 + 4 x ^{2} )} d x

Frequently Asked Questions (FAQ)

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