Jawab:
1. ∫ 5 dx
- 5x + c
2. ∫ -9x^2 dx
- -3x^3 + c
3. ∫ x^-7/2 dx
- 2/9 x^4 √x + c
4. ∫ dx
- ∫ 4 . x^-3/7 dx
- 7 + c
5. ∫ (x^2 + 1)^2 dx
- ∫ (x^4 + 2x^2 + 1) dx
-1/5 x^5 + 2/3 x^3 + x + c
6. ∫ (x^2 + 1) x^2 dx
- ∫ x^4 + x^2 dx
- 1/5 x^5 + 1/3 x^3 + c
7. -
8. ∫ dx
- ∫ (x^3 + 3x) x^-6 dx
- ∫ x^-3 + 3x^-5 dx
- - - + c
9. ∫ 5x^2 - 1/2 x + - 1/x^5 dx
- ∫5x^2 - 1/2 x + x^4/3 - x^-5
- 5/3 x^3 - 1/4 x^2 + 3/7 x^2 + + c
10. ∫( + )^3 dx
-∫ x√x + 2√x + + + + dx
- ∫ x^3/2 + 3 x^1/2 + 3x^-1/2 + x^-3/2 dx
- 2/5 x^2 √x + 2 x √x + 6 √x - +c
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Jawab:
1. ∫ 5 dx
- 5x + c
2. ∫ -9x^2 dx
- -3x^3 + c
3. ∫ x^-7/2 dx
- 2/9 x^4 √x + c
4. ∫![\frac{4}{\sqrt[7]{x^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B%5Csqrt%5B7%5D%7Bx%5E3%7D%20%7D "\frac{4}{\sqrt[7]{x^3} }")
dx
- ∫ 4 . x^-3/7 dx
- 7![\sqrt[7]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E4%7D "\sqrt[7]{x^4}")
+ c
5. ∫ (x^2 + 1)^2 dx
- ∫ (x^4 + 2x^2 + 1) dx
-1/5 x^5 + 2/3 x^3 + x + c
6. ∫ (x^2 + 1) x^2 dx
- ∫ x^4 + x^2 dx
- 1/5 x^5 + 1/3 x^3 + c
7. -
8. ∫
dx
- ∫ (x^3 + 3x) x^-6 dx
- ∫ x^-3 + 3x^-5 dx
- -
- 
+ c
9. ∫ 5x^2 - 1/2 x +![\sqrt[3]{x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E4%7D "\sqrt[3]{x^4}")
- 1/x^5 dx
- ∫5x^2 - 1/2 x + x^4/3 - x^-5
- 5/3 x^3 - 1/4 x^2 + 3/7 x^2![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D "\sqrt[3]{x}")
+ 
+ c
10. ∫(
+ 
)^3 dx
-∫ x√x + 2√x +
+ 
+ 
+ 
dx
- ∫ x^3/2 + 3 x^1/2 + 3x^-1/2 + x^-3/2 dx
- 2/5 x^2 √x + 2 x √x + 6 √x -
+c