What is the formula of integration?
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Most common formulas used in integration
Power Rule
If f(x) = x^n, then ∫x^n dx = (x^(n + 1))/(n + 1) + C,
where, C is an arbitrary constant.
Exponential Function Rule
If f(x) = e^x, then ∫e^x dx = e^x + C.
Logarithmic Function Rule:
If f(x) = ln(x), then ∫ln(x) dx = x ln(x) – x + C.
Trigonometric Function Rules:
There are several rules for integrating trigonometric functions, such as
∫sin(x) dx = -cos(x) + C,
∫cos(x) dx = sin(x) + C, and
∫sec^2(x) dx = tan(x) + C.
Integration by Parts:
∫u dv = uv – ∫v du,
where,
- u and dv are functions that can be differentiated, and
- v and du are their derivatives.
These are just a few formula of integration the many formulas used in integration.Regenerate response