NGUYÊN HÀM

$$\int_{ }^{ }\left(f\left(x\right)+g\left(x\right)\right)dx=\int_{ }^{ }f\left(x\right)dc+\int_{ }^{ }g\left(x\right)dx$$  

$$\int_{ }^{ }\left(f\left(x\right)-g\left(x\right)\right)dx=\int_{ }^{ }f\left(x\right)dx-\int_{ }^{ }g\left(x\right)dx$$  

$$\int_{ }^{ }\left(f\left(x\right).g\left(x\right)\right)dx=\int_{ }^{ }f\left(x\right)dx.\int_{ }^{ }g\left(x\right)dx$$  

$$\int_{ }^{ }\left(k.f\left(x\right)\right)dx=k\int_{ }^{ }f\left(x\right)dx,\ \ \left(k\ne0\right)$$  

$$f'\left(x\right)=F\left(x\right),\ \forall x\in K$$  

$$F'\left(x\right)=f\left(x\right),\ \forall x\in K$$  

$$F'\left(x\right)=f'\left(x\right),\ \forall x\in K$$  

$$F\left(x\right)=f\left(x\right),\ \forall x\in K$$  

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$\int_{ }^{ }\cos xdx=-\sin x+C$

$\int_{ }^{ }2xdx=x^2+C$

$\int_{ }^{ }\frac{1}{x}dx=\ln\left|x\right|+C$

$\int_{ }^{ }e^xdx=e^x+C$

$\int_{ }^{ }\frac{1}{x}dx=\ln x+C$

$\int\sin xdx=-\cos x+C$

$\int x^3dx=\frac{x^4}{4}+C$

$\int2e^xdx=2\left(e^x+C\right)$

 $F\left(x\right)=\frac{\pi^3}{3}+C$  

 $F\left(x\right)=\pi x+C$  

 $F\left(x\right)=2\pi x+C$  

 $F\left(x\right)=\frac{\pi x^2}{2}+C$  

 $F\left(x\right)=e^x+\sin x+2021x+C$  

 $F\left(x\right)=e^x-\sin x+2021x+C$  

 $F\left(x\right)=e^x+\sin x+2021x$  

 $F\left(x\right)=e^x+\sin x+2021+C$  

 $\frac{1}{2}x^4-9x+C$  

 $4x^4-9x+C$  

 $\frac{1}{4}x^4+C$  

 $6x^2+C$  

 $f\left(x\right)=e^x-\frac{1}{\sin^2x}$  

 $f\left(x\right)=e^x+\frac{1}{\sin^2x}$  

 $f\left(x\right)=e^x+\frac{1}{\cos^2x}$  

 $f\left(x\right)=e^x-\frac{1}{\cos^2x}$  

 $F\left(x\right)=x^2-3\sin x+6+\frac{\pi^2}{4}$  

 $F\left(x\right)=x^2-3\sin x-\frac{\pi^2}{4}$  

 $F\left(x\right)=x^2-3\sin x-\frac{\pi^2}{4}$  

 $F\left(x\right)=x^2-3\sin x+6-\frac{\pi^2}{4}$