1. Intergal (3x²+2x+1)DX=

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2. Intergal 4x(x²+1/2) DX =
3. Intergal (x√x+√x)DX=
4. Intergal X(x²-16/x-4) DX =
5. Jika d/dx (f(x)) = 5 3√x² dan f(8) = 97 maka f(1) =
Tolongg di bantu ya buat tugas MTK hehehe:)

1. Intergal (3x²+2x+1)DX=

ini jawaban dah ku coba sebisaku, grapiknya digambar

1. int left(3x^2+2x+1right)Dxdx

=Dcdot int left(3x^2+2x+1right)xdx

=Dcdot int :3x^3+2x^2+xdx

=Dleft(int :3x^3dx+int :2x^2dx+int :xdxright)

=Dleft(frac{3x^4}{4}+frac{2x^3}{3}+frac{x^2}{2}right)

=Dleft(frac{3x^4}{4}+frac{2x^3}{3}+frac{x^2}{2}right)+C

2. int :4xleft(x^2+frac{1}{2}right)Dxdx

=4Dcdot int :xleft(x^2+frac{1}{2}right)xdx

=4Dcdot int :x^4+frac{x^2}{2}dx

=4Dleft(int :x^4dx+int frac{x^2}{2}dxright)

=4Dleft(frac{x^5}{5}+frac{x^3}{6}right)

=4Dleft(frac{x^5}{5}+frac{x^3}{6}right)+C

3.int left(xsqrt{x}+sqrt{x}right)Dxdx

=Dcdot int left(xsqrt{x}+sqrt{x}right)xdx

=Dcdot int :x^{frac{5}{2}}+x^{frac{3}{2}}dx

=Dleft(frac{2}{7}x^{frac{7}{2}}+frac{2}{5}x^{frac{5}{2}}right)

=Dleft(frac{2}{7}x^{frac{7}{2}}+frac{2}{5}x^{frac{5}{2}}right)+C

4. int :xfrac{x^2-16}{x-4}Dxdx

=Dcdot int :xfrac{x^2-16}{x-4}xdx

=Dcdot int :x^2left(x+4right)dx

=Dcdot int :x^3+4x^2dx

=Dleft(int :x^3dx+int :4x^2dxright)

=Dleft(frac{x^4}{4}+frac{4x^3}{3}right)

=Dleft(frac{x^4}{4}+frac{4x^3}{3}right)+C

Gambar Jawaban

Gambar Jawaban

Gambar Jawaban

Gambar Jawaban