Question

What is the integral rule???​

Answer 1

Answer:

∫ e x d x = e x + C \int e^x \;dx = e^x+C ∫exdx=ex+C. ∫ 1 x d x = ln ⁡ x + C \int {1\over x} \;dx= \ln x+C ∫x1dx=lnx+C. ∫ sin ⁡ x d x = − cos ⁡ x + C \int \sin x\;dx=-\cos x+C ∫sinxdx=−cosx+C.In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area.

hope it is useful for you and have a sweet day today

Answer 2

List of Integral Rule

• Multiplication by constant

∫ cf (x) dx c∫f(x) dx

• Power Rule (n≠-1)

∫ xⁿ dx = [(x ⁿ+¹) / (n+1)] + C

• Sum Rule

∫(f + g) dx ∫f dx + ∫g dx

• Difference Rule

∫(f - g) dx ∫f dx - ∫g dx

List of Integral Formula

• Constant

∫ a dx = ax + C

• Variable

∫x dx = x²/2 + C

• Trigonometry

∫ sin x dx = – cos x + C

∫ cos x dx = sin x + C

∫ sec² dx = tan x + C

∫ cosec² dx = -cot x + C

∫ sec x (tan x) dx = sec x + C