10:[["$","title","0",{"children":"CUET Mathematics - The value of _-5^5 |x + 3| dx is | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined The absolute value |x + 3| chan>=s definition at x = -3: When x < -3: |x + 3| = -x - 3 When x \\>=q -3: |x + 3| = x + 3

Since the function chan>=s at x = -3, the integral must be split: _-5^5 |x + 3| dx = _-5^-3 |x + 3| dx + _-3^5 |x + 3| dx

For -5 \\<=q x < -3, we have |x + 3| = -x - 3: _-5^-3 (-x - 3) dx = [-x^2/2 - 3x]_-5^-3 At x = -3: -(-3)^2/2 - 3(-3) = -9/2 + 9 = 9/2 At x = -5: -(-5)^2/2 - 3(-5) = -25/2 + 15 = 5/2 Result: 9/2 - 5/2 = 2

For -3 \\<=q x \\<=q 5, we have |x + 3| = x + 3: _-3^5 (x + 3) dx = [x^2/2 + 3x]_-3^5 At x = 5: (5)^2/2 + 3(5) = 25/2 + 15 = 55/2 At x = -3: (-3)^2/2 + 3(-3) = 9/2 - 9 = -9/2 Result: 55/2 - (-9/2) = 55/2 + 9/2 = 32

Total: 2 + 32 = 34 Therefore, _-5^5 |x + 3| dx = 34"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"CUETMAT,MAT,Calculus,Integrals"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"CUET Mathematics - The value of _-5^5 |x + 3| dx is | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined The absolute value |x + 3| chan>=s definition at x = -3: When x < -3: |x + 3| = -x - 3 When x \\>=q -3: |x + 3| = x + 3

Since the function chan>=s at x = -3, the integral must be split: _-5^5 |x + 3| dx = _-5^-3 |x + 3| dx + _-3^5 |x + 3| dx

Total: 2 + 32 = 34 Therefore, _-5^5 |x + 3| dx = 34"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/cuet-mathematics/2025/slot-14/81"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | CUET Mathematics Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"CUET Mathematics - The value of _-5^5 |x + 3| dx is | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined The absolute value |x + 3| chan>=s definition at x = -3: When x < -3: |x + 3| = -x - 3 When x \\>=q -3: |x + 3| = x + 3

Since the function chan>=s at x = -3, the integral must be split: _-5^5 |x + 3| dx = _-5^-3 |x + 3| dx + _-3^5 |x + 3| dx

Total: 2 + 32 = 34 Therefore, _-5^5 |x + 3| dx = 34"}],"$L17","$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e","$L1f","$L20"]

CUET Mathematics 2025 27 May Shift 1 PYQs

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