$$f(x) = x^2$$
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$$f(x) = x^2$$
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Common Integrals & Examples

$$\int x^2 dx = \frac{x^3}{3} + C$$

Power Rule: ∫xⁿ dx = xⁿ⁺¹/(n+1) + C

$$\int \sin(x) dx = -\cos(x) + C$$

Trigonometric Integral: ∫sin(x) dx = -cos(x) + C

$$\int \frac{1}{x} dx = \ln|x| + C$$

Natural Logarithm: ∫1/x dx = ln|x| + C

$$\int e^x dx = e^x + C$$

Exponential: ∫eˣ dx = eˣ + C

$$\int \cos(x) dx = \sin(x) + C$$

Trigonometric Integral: ∫cos(x) dx = sin(x) + C

$$\int \frac{1}{x^2+1} dx = \arctan(x) + C$$

Inverse Trigonometric: ∫1/(x²+1) dx = arctan(x) + C

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