JEE MAIN - Mathematics Hindi (2018 (Offline) - No. 13)
समकलन
$$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x{{\cos }^2}x + {{\cos }^5}x} \right)}^2}}}} dx$$
के बराबर है
$$\int {{{{{\sin }^2}x{{\cos }^2}x} \over {{{\left( {{{\sin }^5}x + {{\cos }^3}x{{\sin }^2}x + {{\sin }^3}x{{\cos }^2}x + {{\cos }^5}x} \right)}^2}}}} dx$$
के बराबर है
$${{ - 1} \over {1 + {{\cot }^3}x}} + C$$
$${1 \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$$
$${{ - 1} \over {3\left( {1 + {{\tan }^3}x} \right)}} + C$$
$${1 \over {1 + {{\cot }^3}x}} + C$$