∫ x⁸ dx
= x⁸⁺¹/(8+1) + c, where c is constant of integration
= x⁹/9 + c
∫₁⁵ x dx
= [ x²/2 ]₁⁵
= 1/2 * [ x² ]₁⁵
= 1/2 * (5² - 1²)
= 1/2 * (25 - 1)
= 1/2 * 24
= 12
Answer: (I) x^9/9 + c (II) 12+ c
Explanation:
I hope it helps you
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Answers & Comments
1.
∫ x⁸ dx
= x⁸⁺¹/(8+1) + c, where c is constant of integration
= x⁹/9 + c
2.
∫₁⁵ x dx
= [ x²/2 ]₁⁵
= 1/2 * [ x² ]₁⁵
= 1/2 * (5² - 1²)
= 1/2 * (25 - 1)
= 1/2 * 24
= 12
Answer: (I) x^9/9 + c (II) 12+ c
Explanation:
I hope it helps you