Bantuin aku jawab pertanyaan ini dengan caranya juga ya.

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1. S √x³ dx
2. S 2x 5/2 dx
3. S 1/6√x² dx
4. S 2/3√x dx
5. S 3/5 2√4 dx
6. S (x² + 2) dx
7. S (10 – 2x + 2x²) dx
8. S (x + 4) (2x – 5) dx
9. S (x + 2)² dx
10. S x(5x + 2/x) dx
11. S 2x² ( 1/x² – 1) dx
12. S x(x + 1)² dx
13. S (x² – 2)²/ x² dx

Bantuin aku jawab pertanyaan ini dengan caranya juga ya.

Jawaban Terkonfirmasi

1. intlimits x^{ frac{3}{2} } , dx = frac{2}{5} x^{ frac{5}{2} } + C = frac{2}{5} x^{2} sqrt{x} + C \ \
2. intlimits 2x^{ frac{5}{2} } , dx = frac{4}{7} x^{ frac{7}{2} } + C = frac{4}{7} x^{3} sqrt{x} + C \ \ 
3. intlimits frac{1}{6} x , dx = frac{1}{12} x^2 } + C \ \
4. intlimits frac{2}{3} x^{ frac{1}{2} } , dx = frac{4}{9} x^{ frac{3}{2} } + C = frac{4}{9} x sqrt{x} + C \ \ 5. intlimits frac{3}{5} 2 (2) , dx = intlimits frac{12}{5} , dx = frac{12}{5} x + C \ \
6. intlimits ( x^{2} +2) , dx = frac{1}{3} x^{3} + 2x + C \ \
7. intlimits (10-2x+2 x^{2} ) , dx = 10x- x^{2} + frac{2}{3} x^{3} + C \ \ 8. intlimits(2 x^{2} +3x-20), dx = frac{2}{3} x^{3} + frac{3}{2} x^{2}-20x+C \ \
9. intlimits( x^{2} +4x+4), dx = frac{1}{3} x^{3} + 2 x^{2} +4x +C \ \
10. intlimits(5 x^{2} +2), dx = frac{5}{3} x^{3}+2x +C \ \ 
11. intlimits(2-2 x^{2} ) , dx = 2x- frac{2}{3} x^{3}+C\ \ 
12. intlimits( x^{3}+2 x^{2} +x) , dx = frac{1}{4} x^{4} + frac{2}{3} x^{3} + frac{1}{2} x^{2} + C \ \ 13. intlimits( frac{ x^{4}-4x^{2}+4}{ x^{2} }) , dx = intlimits( x^{2} -4+4 x^{-2}) , dx = frac{1}{3} x^{3}-4x+ frac{4}{-1} x^{-1} + C \
=frac{1}{3} x^{3}-4x-frac{4}{x} + C \ \

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