Question

integration of some standard functions​

Answer 1

problem decoded dude

answer is in attachment

Answer 2

Answer:can be used to find areas, volumes, central points and many useful things. But it is often used to find the area underneath the graph of a function like this:

Common Functions Function Integral

Constant ∫a dx ax + C

Variable ∫x dx x2/2 + C

Square ∫x2 dx x3/3 + C

Reciprocal ∫(1/x) dx ln|x| + C

Exponential ∫ex dx ex + C

 ∫ax dx ax/ln(a) + C

 ∫ln(x) dx x ln(x) − x + C

Trigonometry (x in radians) ∫cos(x) dx sin(x) + C

 ∫sin(x) dx -cos(x) + C

 ∫sec2(x) dx tan(x) + C

     

Rules Function

Integral

Multiplication by constant ∫cf(x) dx c∫f(x) dx

Power Rule (n≠-1) ∫xn dx  xn+1n+1  + C

Sum Rule ∫(f + g) dx ∫f dx + ∫g dx

Difference Rule ∫(f - g) dx ∫f dx - ∫g dx

Integration by Parts See Integration by Parts

Substitution Rule See Integration by Substitution

Step-by-step explanation:hi buddy i hope this helps u pls mark a brainliest pls follow pls thank have a nice day dear all the best

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