Integration Rules

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Integration Rules

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Integration rules

Integration Rules

The most important integration rules are as follows x n dx x n 1 n 1 C e x dx e x C 1 x dx ln x C a x dx a x ln a C 1 dx x C There are certain rules defined for finding integrals. They include: Sum and Difference Rules: ∫ [f(x)+g(x)] dx = ∫ f(x) dx + ∫ g(x) dx; ∫ [f(x)-g(x)] dx =∫ f(x) dx - ∫ g(x) dx; Power Rule: ∫ x n dx = (x n+1)/ (n+1)+ C. (Where n ≠ -1) Exponential Rules: ∫ e x dx = e x + C; ∫ a x dx = a x /ln(a) + C; ∫ ln(x) dx = x ln(x) -x + C

Integration rules what are integration rules examples

Integration Rules What Are Integration Rules Examples

Integration RulesIndefinite Integrals Rules. Integral of a constant \int f\left (a\right)dx=x\cdot f\left (a\right) Take the constant out \int a\cdot f\left (x\right)dx=a\cdot \int f\left (x\right)dx. Sum Rule \int f\left (x\right)\pm g\left (x\right)dx=\int f\left (x\right)dx\pm \int g\left (x\right)dx. Integration Rules Here are the most useful rules with examples below Examples Example what is the integral of sin x From the table above it is listed as being cos x C It is written as sin x dx cos x C Example what is the integral of 1 x From the table above it is listed as being ln x C It is written as