Sách Toán – Học Toán – Đề Thi Toán https://booktoan.com Học toán, Đề thi toán, Sách giáo khoa Toán, trắc nghiệm Toán online Fri, 04 Feb 2022 17:00:00 +0000 vi hourly 1 https://wordpress.org/?v=7.1.3 CÂU HỎI: Cho F(x) là một nguyên hàm của hàm f(x)trên R . Hỏi \(F\left(x^{2}\right)\) là nguyên hàm của hàm số nào dưới đây: https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-fxtren-r-hoi-fleftx2right-la-nguyen-ham-cua-ham-so-nao-duoi-day.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-fxtren-r-hoi-fleftx2right-la-nguyen-ham-cua-ham-so-nao-duoi-day.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-fxtren-r-hoi-fleftx2right-la-nguyen-ham-cua-ham-so-nao-duoi-day.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-fxtren-r-hoi-fleftx2right-la-nguyen-ham-cua-ham-so-nao-duoi-day.html/feed 0 CÂU HỎI: \(\begin{equation} \text { Nguyên hàm } F(x) \text { của hàm số } f(x)=\sin ^{2} 2 x \cdot \cos ^{3} 2 x \text { thỏa } F\left(\frac{\pi}{4}\right)=0 \text { là } \end{equation}\) https://booktoan.com/cau-hoibeginequationtext-nguyen-ham-fx-text-cua-ham-so-fxsin-2-2-x-cdot-cos-3-2-x-text-thoa-fleftfracpi4right0-text-la-endequation.html https://booktoan.com/cau-hoibeginequationtext-nguyen-ham-fx-text-cua-ham-so-fxsin-2-2-x-cdot-cos-3-2-x-text-thoa-fleftfracpi4right0-text-la-endequation.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoibeginequationtext-nguyen-ham-fx-text-cua-ham-so-fxsin-2-2-x-cdot-cos-3-2-x-text-thoa-fleftfracpi4right0-text-la-endequation.html https://booktoan.com/cau-hoibeginequationtext-nguyen-ham-fx-text-cua-ham-so-fxsin-2-2-x-cdot-cos-3-2-x-text-thoa-fleftfracpi4right0-text-la-endequation.html/feed 0 CÂU HỎI: Cho F(x) là một nguyên hàm của hàm số \(f(x)=3 x^{2}+8 \sin x\) và thỏa mãn F(0) = 2010. Tìm F(x).  https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fx3-x28-sin-x-va-thoa-man-f0-2010-tim-fx.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fx3-x28-sin-x-va-thoa-man-f0-2010-tim-fx.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fx3-x28-sin-x-va-thoa-man-f0-2010-tim-fx.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fx3-x28-sin-x-va-thoa-man-f0-2010-tim-fx.html/feed 0 CÂU HỎI: Cho \( F\left( x \right) = \smallint \frac{x}{{1 + \sqrt {1 + x} }}dx\)  và \(F( 3 ) – F( 0 ) =\frac{a}{b}\) là phân số tối giản , a > 0. Tổng (a + b ) bằng ? https://booktoan.com/cau-hoicho-fleft-x-right-smallint-fracx1-sqrt-1-x-dx-va-f-3-f-0-fracab-la-phan-so-toi-gian-a-gt-0-tong-a-b-bang.html https://booktoan.com/cau-hoicho-fleft-x-right-smallint-fracx1-sqrt-1-x-dx-va-f-3-f-0-fracab-la-phan-so-toi-gian-a-gt-0-tong-a-b-bang.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-fleft-x-right-smallint-fracx1-sqrt-1-x-dx-va-f-3-f-0-fracab-la-phan-so-toi-gian-a-gt-0-tong-a-b-bang.html https://booktoan.com/cau-hoicho-fleft-x-right-smallint-fracx1-sqrt-1-x-dx-va-f-3-f-0-fracab-la-phan-so-toi-gian-a-gt-0-tong-a-b-bang.html/feed 0 CÂU HỎI: Hàm số f(x) = (x − 1)ex có một nguyên hàm F(x) là kết quả nào sau đây, biết nguyên hàm này bằng 1 khi x = 0? https://booktoan.com/cau-hoiham-so-fx-x-%e2%88%92-1ex-co-mot-nguyen-ham-fx-la-ket-qua-nao-sau-day-biet-nguyen-ham-nay-bang-1-khi-x-0.html https://booktoan.com/cau-hoiham-so-fx-x-%e2%88%92-1ex-co-mot-nguyen-ham-fx-la-ket-qua-nao-sau-day-biet-nguyen-ham-nay-bang-1-khi-x-0.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoiham-so-fx-x-%e2%88%92-1ex-co-mot-nguyen-ham-fx-la-ket-qua-nao-sau-day-biet-nguyen-ham-nay-bang-1-khi-x-0.html https://booktoan.com/cau-hoiham-so-fx-x-%e2%88%92-1ex-co-mot-nguyen-ham-fx-la-ket-qua-nao-sau-day-biet-nguyen-ham-nay-bang-1-khi-x-0.html/feed 0 CÂU HỎI: Cho hàm số \(F\left( x \right) = a{x^3} + b{x^2} + cx + 1\) là một nguyên hàm của hàm số f(x) thỏa mãn f(1) = 2, f(2) = 3, f(3) = 4. Hàm số F(x) là https://booktoan.com/cau-hoicho-ham-so-fleft-x-right-ax3-bx2-cx-1-la-mot-nguyen-ham-cua-ham-so-fx-thoa-man-f1-2-f2-3-f3-4-ham-so-fx-la.html https://booktoan.com/cau-hoicho-ham-so-fleft-x-right-ax3-bx2-cx-1-la-mot-nguyen-ham-cua-ham-so-fx-thoa-man-f1-2-f2-3-f3-4-ham-so-fx-la.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-ham-so-fleft-x-right-ax3-bx2-cx-1-la-mot-nguyen-ham-cua-ham-so-fx-thoa-man-f1-2-f2-3-f3-4-ham-so-fx-la.html https://booktoan.com/cau-hoicho-ham-so-fleft-x-right-ax3-bx2-cx-1-la-mot-nguyen-ham-cua-ham-so-fx-thoa-man-f1-2-f2-3-f3-4-ham-so-fx-la.html/feed 0 CÂU HỎI: Biết một nguyên hàm của hàm số \(f\left( x \right) = \frac{1}{{\sqrt {1 – 3x} }} + 1\) là hàm số F(x) thỏa mãn \(F\left( { – 1} \right) = \frac{2}{3}\). Khi đó F(x) là hàm số nào sau đây? https://booktoan.com/cau-hoibiet-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac1sqrt-1-3x-1-la-ham-so-fx-thoa-man-fleft-1-right-frac23-khi-do.html https://booktoan.com/cau-hoibiet-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac1sqrt-1-3x-1-la-ham-so-fx-thoa-man-fleft-1-right-frac23-khi-do.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoibiet-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac1sqrt-1-3x-1-la-ham-so-fx-thoa-man-fleft-1-right-frac23-khi-do.html https://booktoan.com/cau-hoibiet-mot-nguyen-ham-cua-ham-so-fleft-x-right-frac1sqrt-1-3x-1-la-ham-so-fx-thoa-man-fleft-1-right-frac23-khi-do.html/feed 0 CÂU HỎI: Cho F(x) là một nguyên hàm của hàm số \(f(x)=x^{2}-2 x+3\) thỏa mãn F(0)=2, giá trị của F (1) bằng https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fxx2-2-x3-thoa-man-f02-gia-tri-cua-f-1-bang.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fxx2-2-x3-thoa-man-f02-gia-tri-cua-f-1-bang.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fxx2-2-x3-thoa-man-f02-gia-tri-cua-f-1-bang.html https://booktoan.com/cau-hoicho-fx-la-mot-nguyen-ham-cua-ham-so-fxx2-2-x3-thoa-man-f02-gia-tri-cua-f-1-bang.html/feed 0 CÂU HỎI: Khi tính nguyên hàm \(\int \frac{x-3}{\sqrt{x+1}} \mathrm{~d} x\) , bằng cách đặt \(u=\sqrt {x+1}\) ta được nguyên hàm nào?   https://booktoan.com/cau-hoikhi-tinh-nguyen-ham-int-fracx-3sqrtx1-mathrmd-x-bang-cach-dat-usqrt-x1-ta-duoc-nguyen-ham-nao.html https://booktoan.com/cau-hoikhi-tinh-nguyen-ham-int-fracx-3sqrtx1-mathrmd-x-bang-cach-dat-usqrt-x1-ta-duoc-nguyen-ham-nao.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoikhi-tinh-nguyen-ham-int-fracx-3sqrtx1-mathrmd-x-bang-cach-dat-usqrt-x1-ta-duoc-nguyen-ham-nao.html https://booktoan.com/cau-hoikhi-tinh-nguyen-ham-int-fracx-3sqrtx1-mathrmd-x-bang-cach-dat-usqrt-x1-ta-duoc-nguyen-ham-nao.html/feed 0 CÂU HỎI: Cho hàm số f(x) liên tục trên R và thỏa mãn \(\begin{equation} \int \frac{f(\sqrt{x+1})}{\sqrt{x+1}} \mathrm{~d} x=\frac{2(\sqrt{x+1}+3)}{x+5}+C . \end{equation}\) Nguyên hàm của hàm số \(\begin{equation} f(2 x) \text { trên tập } \mathbb{R}^{+} \end{equation}\) là  https://booktoan.com/cau-hoicho-ham-so-fx-lien-tuc-tren-r-va-thoa-man-beginequationint-fracfsqrtx1sqrtx1-mathrmd-xfrac2sqrtx13x5c-endequation-nguyen-ham.html https://booktoan.com/cau-hoicho-ham-so-fx-lien-tuc-tren-r-va-thoa-man-beginequationint-fracfsqrtx1sqrtx1-mathrmd-xfrac2sqrtx13x5c-endequation-nguyen-ham.html#respond Fri, 04 Feb 2022 17:00:00 +0000 https://booktoan.com/cau-hoicho-ham-so-fx-lien-tuc-tren-r-va-thoa-man-beginequationint-fracfsqrtx1sqrtx1-mathrmd-xfrac2sqrtx13x5c-endequation-nguyen-ham.html https://booktoan.com/cau-hoicho-ham-so-fx-lien-tuc-tren-r-va-thoa-man-beginequationint-fracfsqrtx1sqrtx1-mathrmd-xfrac2sqrtx13x5c-endequation-nguyen-ham.html/feed 0