Cho hàm số \(f(x)=4{{x}^{3}}-2x\). Khằng định nào sau đây đúng?
\(\int{f}(x)dx={{x}^{4}}-{{x}^{2}}+C\).
\(\int{f}(x)dx=12{{x}^{2}}-2+C\).
\(\int{f}(x)dx={{x}^{4}}-2{{x}^{2}}+C\).
\(\int{f}(x)dx=3{{x}^{2}}-2x+C\).
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Phương pháp giải
Áp dụng công thức tính nguyên hàm. Bảng nguyên hàm.
Lời giải
\(\int{f}(x)dx=\int{\left( 4{{x}^{3}}-2x \right)}dx={{x}^{4}}-{{x}^{2}}+C.\)
Đề Thi Minh Họa Đánh Giá Năng Lực Năm 2025 – ĐHQG Hà Nội – Đề Số 1 là bài thi được thiết kế hiện đại, đánh giá toàn diện ba nhóm năng lực cốt lõi: Giải Quyết Vấn Đề Và Sáng Tạo, Giao Tiếp Và Hợp Tác, Tự Chủ Và Tự Học. Với cấu trúc ba phần rõ ràng, thí sinh sẽ trải qua Toán Học Và Xử Lí Số Liệu/Tư Duy Định Lượng, Văn Học - Ngôn Ngữ/Tư Duy Định Tính và Khoa Học/Tiếng Anh. Từng câu hỏi trong đề thi không chỉ đánh giá kiến thức mà còn đo lường khả năng lập luận, tư duy logic, ngôn ngữ, tính toán, và cả kỹ năng tiếng Anh. Đây là cơ hội để học sinh thể hiện toàn diện năng lực học tập và khả năng phân tích, giải quyết vấn đề một cách khoa học và sáng tạo.
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