1-Nguyên Hàm Cơ Bản - Lần 1-C14

$$F(a)+G(a)=F(b)+G(b)$$

$$F(a)-G(a)=F(b)-G(b)$$

$$\frac{F(a)}{G(a)}=\frac{F(b)}{G(b)}\$$

$$với\ G(a)\ne0,G(b)\ne0$$

$$F(a)\cdot G(a)=F(b)\cdot G(b)$$

$$g(x)=\frac{1}{2\sqrt{x+3}}$$

$$g(x)=\frac{-1}{\sqrt{x+3}}$$

$$g(x)=\frac{3}{2}(x+3)^{\frac{3}{2}}+C$$

$$g(x)=\frac{2}{3}(x+3)^{\frac{3}{2}}+C$$

$$\int f'(x)dx=f(x)+C$$

$$\ \int[f(x)-g(x)]dx=\int f(x)dx-\int g(x)dx$$

$$\int\frac{f(x)}{g(x)}dx=\frac{\int f(x)dx}{\int g(x)dx}$$

$$\int kf(x)dx=k\int f(x)dx,(k\in R,k\ne0)$$

$$f(x)=-\sin3x$$

$$f(x)=3\sin3x$$

$$f(x)=\frac{\sin3x}{3}$$

$$f(x)=-3\sin3x$$

$$\int2^xdx=2^x\cdot\ln2+C$$

$$\int2^xdx=\frac{2^x}{\ln2}+C$$

$$\int2^xdx=\frac{2^{x+1}}{x+1}+C$$

$$\int2^xdx=-\frac{2^x}{\ln2}+C$$

$$\ln|x|+C$$

$$-e^x+C$$

$$\frac{1}{x}+C$$

$$e^x+C$$

$$x^2(1+\frac{6x^3}{5})+C$$

$$2x(x+\frac{3}{4}x^4)+C$$

$$x^2(1+\frac{3}{2}x^2)+C$$

$$x^2(x+\frac{3}{4}x^3)+C$$

$$\ln|x|+C$$

$$-\frac{1}{x}$$

$$-\frac{1}{x^2}+C$$

$$\ln x+C$$

$$3x^3+x+C$$

$$6x+C$$

$$x^3+x+C$$

$$x^3+C$$

$$\int kf(x)dx=k\int f(x)dx$$ với $$k\ne0$$

$$\int[f(x)\cdot g(x)]dx=\int f(x)dx\cdot\int g(x)dx$$

$$\int[f(x)-g(x)]dx=\int f(x)dx-\int g(x)dx$$

$$\int[f(x)+g(x)]dx=\int f(x)dx+\int g(x)dx$$