10:[["$","title","0",{"children":"CUET Mathematics - _1^sqrt(3) 1/1+x^2 dx is equal to: | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined The integral of 1/1+x^2 is a standard form: 1/1+x^2 dx = ^-1(x) + C

Using the fundamental theorem of calculus: _1^sqrt(3) 1/1+x^2 dx = [^-1(x)]_1^sqrt(3) = ^-1(sqrt(3)) - ^-1(1)

The ang<= with () = sqrt(3) is = /3 Therefore ^-1(sqrt(3)) = /3 The ang<= with () = 1 is = /4 Therefore ^-1(1) = /4

^-1(sqrt(3)) - ^-1(1) = /3 - /4 = 4/12 - 3/12 = /12 Therefore, the answer is /12."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$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"}],["$","meta","7",{"property":"og:title","content":"CUET Mathematics - _1^sqrt(3) 1/1+x^2 dx is equal to: | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined The integral of 1/1+x^2 is a standard form: 1/1+x^2 dx = ^-1(x) + C

Using the fundamental theorem of calculus: _1^sqrt(3) 1/1+x^2 dx = [^-1(x)]_1^sqrt(3) = ^-1(sqrt(3)) - ^-1(1)

The ang<= with () = sqrt(3) is = /3 Therefore ^-1(sqrt(3)) = /3 The ang<= with () = 1 is = /4 Therefore ^-1(1) = /4

^-1(sqrt(3)) - ^-1(1) = /3 - /4 = 4/12 - 3/12 = /12 Therefore, the answer is /12."}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/cuet-mathematics/2025/slot-17/69"}],["$","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"}],["$","meta","15",{"name":"twitter:title","content":"CUET Mathematics - _1^sqrt(3) 1/1+x^2 dx is equal to: | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined The integral of 1/1+x^2 is a standard form: 1/1+x^2 dx = ^-1(x) + C

Using the fundamental theorem of calculus: _1^sqrt(3) 1/1+x^2 dx = [^-1(x)]_1^sqrt(3) = ^-1(sqrt(3)) - ^-1(1)

The ang<= with () = sqrt(3) is = /3 Therefore ^-1(sqrt(3)) = /3 The ang<= with () = 1 is = /4 Therefore ^-1(1) = /4

^-1(sqrt(3)) - ^-1(1) = /3 - /4 = 4/12 - 3/12 = /12 Therefore, the answer is /12."}],["$","meta","17",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","20",{"rel":"icon","href":"https://www.afterboards.in/icons/windows11/Square44x44Logo.altform-lightunplated_targetsize-256.png","sizes":"256x256","type":"image/png"}],["$","link","21",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-512-512.png","sizes":"512x512","type":"image/png"}],["$","link","22",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-192-192.png","sizes":"192x192","type":"image/png"}],["$","link","23",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-144-144.png","sizes":"144x144","type":"image/png"}],["$","link","24",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-96-96.png","sizes":"96x96","type":"image/png"}],"$L17","$L18"]

CUET Mathematics 2025 30 May Shift 2 PYQs

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