Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Sat, 20 May 2023 14:10:47 +0000 vi hourly 1 https://wordpress.org/?v=7.1.2 Cho hàm số \(f\left( x \right) = {\cos ^2}x\). Khẳng định nào sau đây là đúng? https://booktoan.com/cho-ham-so-fleft-x-right-cos-2x-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/cho-ham-so-fleft-x-right-cos-2x-khang-dinh-nao-sau-day-la-dung.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/cho-ham-so-fleft-x-right-cos-2x-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/cho-ham-so-fleft-x-right-cos-2x-khang-dinh-nao-sau-day-la-dung.html/feed 0 Gọi \(F\left( x \right)\) là một nguyên hàm của hàm số \(y = \sqrt {{{\ln }^2}x + 1} .\frac{{\ln x}}{x}\) mà \(F\left( 1 \right) = \frac{1}{3}\). Giá trị \({F^2}\left( e \right)\) bằng https://booktoan.com/goi-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-y-sqrt-ln-2x-1-fracln-xx-ma-fleft-1-right-frac13-gia-tri-f2left-e-right-b.html https://booktoan.com/goi-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-y-sqrt-ln-2x-1-fracln-xx-ma-fleft-1-right-frac13-gia-tri-f2left-e-right-b.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/goi-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-y-sqrt-ln-2x-1-fracln-xx-ma-fleft-1-right-frac13-gia-tri-f2left-e-right-b.html https://booktoan.com/goi-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-y-sqrt-ln-2x-1-fracln-xx-ma-fleft-1-right-frac13-gia-tri-f2left-e-right-b.html/feed 0 Biết \(F\left( x \right) = {e^{2x}}\) là một nguyên hàm của hàm số \(f\left( x \right)\). Khi đó khẳng định nào sau đây là đúng? https://booktoan.com/biet-fleft-x-right-e2x-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-khi-do-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/biet-fleft-x-right-e2x-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-khi-do-khang-dinh-nao-sau-day-la-dung.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/biet-fleft-x-right-e2x-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-khi-do-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/biet-fleft-x-right-e2x-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-khi-do-khang-dinh-nao-sau-day-la-dung.html/feed 0 Cho hàm số \(f(x) = \frac{{2{x^4} + 3}}{{{x^2}}}\). Khẳng định nào sau đây là đúng? https://booktoan.com/cho-ham-so-fx-frac2x4-3x2-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/cho-ham-so-fx-frac2x4-3x2-khang-dinh-nao-sau-day-la-dung.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/cho-ham-so-fx-frac2x4-3x2-khang-dinh-nao-sau-day-la-dung.html https://booktoan.com/cho-ham-so-fx-frac2x4-3x2-khang-dinh-nao-sau-day-la-dung.html/feed 0 Cho \(F\left( x \right)\) là một nguyên hàm của hàm số \(f\left( x \right) = \frac{{2x + 1}}{{{x^4} + 2{x^3} + {x^2}}}\) trên khoảng \(\left( {0; + \infty } \right)\) thỏa mãn \(F\left( 1 \right) = \frac{1}{2}\). Giá trị của biểu thức \(S = F\left( 1 \right) + F\left( 2 \right) + F\left( 3 \right) + … + F\left( {2023} \right)\) bằng https://booktoan.com/cho-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac2x-1x4-2x3-x2-tren-khoang-left-0-infty-right-thoa-man-fleft.html https://booktoan.com/cho-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac2x-1x4-2x3-x2-tren-khoang-left-0-infty-right-thoa-man-fleft.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/cho-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac2x-1x4-2x3-x2-tren-khoang-left-0-infty-right-thoa-man-fleft.html https://booktoan.com/cho-fleft-x-right-la-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac2x-1x4-2x3-x2-tren-khoang-left-0-infty-right-thoa-man-fleft.html/feed 0 Biết \(f\left( x \right) = \int {{x^3}{e^{{x^2} + 1}}dx} \) và \(f\left( 0 \right) = – \frac{1}{2}e\). Khi đó \(f\left( 1 \right)\) bằng https://booktoan.com/biet-fleft-x-right-int-x3ex2-1dx-va-fleft-0-right-frac12e-khi-do-fleft-1-right-bang.html https://booktoan.com/biet-fleft-x-right-int-x3ex2-1dx-va-fleft-0-right-frac12e-khi-do-fleft-1-right-bang.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/biet-fleft-x-right-int-x3ex2-1dx-va-fleft-0-right-frac12e-khi-do-fleft-1-right-bang.html https://booktoan.com/biet-fleft-x-right-int-x3ex2-1dx-va-fleft-0-right-frac12e-khi-do-fleft-1-right-bang.html/feed 0 \(\int {\frac{{2x – 1}}{{x + 1}}{\rm{d}}x} \) bằng https://booktoan.com/int-frac2x-1x-1rmdx-bang.html https://booktoan.com/int-frac2x-1x-1rmdx-bang.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/int-frac2x-1x-1rmdx-bang.html https://booktoan.com/int-frac2x-1x-1rmdx-bang.html/feed 0 Họ các nguyên hàm của hàm số \(f(x) = x\left( {1 + {e^x}} \right)\)là https://booktoan.com/ho-cac-nguyen-ham-cua-ham-so-fx-xleft-1-ex-rightla.html https://booktoan.com/ho-cac-nguyen-ham-cua-ham-so-fx-xleft-1-ex-rightla.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/ho-cac-nguyen-ham-cua-ham-so-fx-xleft-1-ex-rightla.html https://booktoan.com/ho-cac-nguyen-ham-cua-ham-so-fx-xleft-1-ex-rightla.html/feed 0 Cho \(F\left( x \right)\) là nguyên hàm của hàm số \(f\left( x \right) = \frac{{{{\left( {x + \sqrt {{x^2} + 1} } \right)}^{2021}}}}{{\sqrt {{x^2} + 1} }}\) và \(F\left( 0 \right) = 1\). Giá trị của \(F\left( 1 \right)\) bằng https://booktoan.com/cho-fleft-x-right-la-nguyen-ham-cua-ham-so-fleft-x-right-fracleft-x-sqrt-x2-1-right2021sqrt-x2-1-va-fleft-0-right-1.html https://booktoan.com/cho-fleft-x-right-la-nguyen-ham-cua-ham-so-fleft-x-right-fracleft-x-sqrt-x2-1-right2021sqrt-x2-1-va-fleft-0-right-1.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/cho-fleft-x-right-la-nguyen-ham-cua-ham-so-fleft-x-right-fracleft-x-sqrt-x2-1-right2021sqrt-x2-1-va-fleft-0-right-1.html https://booktoan.com/cho-fleft-x-right-la-nguyen-ham-cua-ham-so-fleft-x-right-fracleft-x-sqrt-x2-1-right2021sqrt-x2-1-va-fleft-0-right-1.html/feed 0 Để tính \(I = \int {\frac{{{e^{\tan x}}}}{{co{s^2}x}}{\rm{d}}x} \) theo phương pháp đổi biến số, ta đặt \(t = \tan x\). Khi đó https://booktoan.com/de-tinh-i-int-fracetan-xcos2xrmdx-theo-phuong-phap-doi-bien-so-ta-dat-t-tan-x-khi-do.html https://booktoan.com/de-tinh-i-int-fracetan-xcos2xrmdx-theo-phuong-phap-doi-bien-so-ta-dat-t-tan-x-khi-do.html#respond Fri, 19 May 2023 17:00:00 +0000 https://booktoan.com/de-tinh-i-int-fracetan-xcos2xrmdx-theo-phuong-phap-doi-bien-so-ta-dat-t-tan-x-khi-do.html https://booktoan.com/de-tinh-i-int-fracetan-xcos2xrmdx-theo-phuong-phap-doi-bien-so-ta-dat-t-tan-x-khi-do.html/feed 0