Đề ôn tập Chương 3 Giải tích lớp 12 năm 2021 Trường THPT Phạm Phú Thứ

A. \(I = \frac{7}{4} - \frac{a}{2}\)

B. \(I = \frac{9}{4} - \frac{a}{2}\)

C. \(I = \frac{7}{4} + \frac{a}{2}\)

D. \(I = \frac{9}{4} + \frac{a}{2}\)

A. \(20{x^3} - 12x + C\)

B. \({x^5} - 2{x^3} + x + C\)

C. \(20{x^5} - 12{x^3} + x + C\)

D. \(\frac{{{x^4}}}{4} + 2{x^2} - 2x + C\)

A. \(\int {f\left( x \right){\rm{d}}x}  =  - 2\ln \left| {1 - 2x} \right| + C\)

B. \(\int {f\left( x \right){\rm{d}}x}  = 2\ln \left| {1 - 2x} \right| + C\)

C. \(\int {f\left( x \right){\rm{d}}x}  =  - \frac{1}{2}\ln \left| {1 - 2x} \right| + C\)

D. \(\int {f\left( x \right){\rm{d}}x}  = \ln \left| {1 - 2x} \right| + C\)

A. \(\frac{{2{x^3}}}{3} + {x^2} + x + C\)

B. 4x + 1

C. \(\frac{{2{x^3}}}{3} + \frac{{{x^2}}}{2} + x\)

D. \(\frac{{2{x^3}}}{3} + \frac{{{x^2}}}{2} + x + C\)

A. \(\frac{1}{2}\log \frac{7}{3}\)

B. \(\ln \frac{7}{3}\)

C. \(\frac{1}{2}\ln \frac{7}{3}\)

D. \(\frac{1}{2}\ln \frac{3}{7}\)

A. \(\int {\frac{1}{{{x^2}}}{\rm{d}}x}  = \frac{1}{x} + C\)

B. \(\int {\frac{1}{{{x^2}}}{\rm{d}}x}  =  - \frac{1}{x} + C\)

C. \(\int {\frac{1}{{{x^2}}}{\rm{d}}x}  = \frac{1}{{2x}} + C\)

D. \(\int {\frac{1}{{{x^2}}}{\rm{d}}x}  = \ln {x^2} + C\)

A. ln2

B. 2 + ln2

C. 3

D. 4

A. \({2^{2018}} - 1\)

B. \(\frac{{{2^{2018}} - 1}}{{\ln 2}}\)

C. \(\frac{{{2^{2018}}}}{{\ln 2}}\)

D. \({2^{2018}}\)

A. \(V = \int\limits_0^1 {{x^2}{{\rm{e}}^{2x}}} {\rm{d}}x\)

B. \(V = \pi \int\limits_0^1 {x{e^x}} dx\)

C. \(V = \pi \int\limits_0^1 {{x^2}{{\rm{e}}^{2x}}} {\rm{d}}x\)

D. \(V = \pi \int\limits_0^1 {{x^2}{{\rm{e}}^x}} {\rm{d}}x\)

A. \(\frac{1}{2}\ln \left( {2x + 3} \right) + C\)

B. \(\frac{1}{2}\ln \left| {2x + 3} \right| + C\)

C. \(\ln \left| {2x + 3} \right| + C\)

D. \(\frac{1}{{\ln 2}}\ln \left| {2x + 3} \right| + C\)

A. \(S = \int\limits_a^b {f\left( x \right){\rm{d}}x} \)

B. \(S =  - \int\limits_a^c {f\left( x \right){\rm{d}}x + \int\limits_c^b {f\left( x \right){\rm{d}}x} } \)

C. \(S = \left| {\int\limits_a^b {f\left( x \right){\rm{d}}x} } \right|\)

D. \(S = \int\limits_a^c {f\left( x \right){\rm{d}}x + \int\limits_c^b {f\left( x \right){\rm{d}}x} } \)

A. \(\int {f\left( x \right){\rm{d}}x}  = {e^x} + 1 + C\)

B. \(\int {f\left( x \right){\rm{d}}x}  = {e^x} + x + C\)

C. \(\int {f\left( x \right){\rm{d}}x}  =  - {e^x} + x + C\)

D. \(\int {f\left( x \right){\rm{d}}x}  = {e^x} + C\)

A. \(2\pi \ln 2\)

B. \(\frac{{3\pi }}{4}\)

C. \(\frac{3}{4}-1\)

D. 2ln2

A. \(\int {f\left( x \right){\rm{d}}x}  = {{\rm{e}}^{ - x}} + C\)

B. \(\int {f\left( x \right){\rm{d}}x}  = {{\rm{e}}^x} + x + C\)

C. \(\int {f\left( x \right){\rm{d}}x}  = {{\rm{e}}^x} + {{\rm{e}}^{ - x}} + C\)

D. \(\int {f\left( x \right){\rm{d}}x}  = {{\rm{e}}^x} + C\)

A. I = 1

B. I = 2

C. I = 3

D. I = 4

A. \(I = \frac{{10}}{3} + \ln 2 - \ln 3\)

B. \(I = \frac{{10}}{3} - \ln 2 + \ln 3\)

C. \(I = \frac{{10}}{3} - \ln 2 - \ln 3\)

D. \(I = \frac{{10}}{3} + \ln 2 + \ln 3\)

A. I = ln2

B. I = ln2 - 1

C. I = 1 - ln2

D. I = -ln2

A. I = 1

B. I = 2

C. I = 3

D. I = 4

A. \(I = \frac{5}{2}\)

B. \(I = \frac{7}{2}\)

C. \(I = \frac{9}{2}\)

D. \(I = \frac{11}{2}\)

A. \(I = 1 - \frac{1}{e} + \frac{1}{{{e^2}}}\)

B. \(I = 1 - \frac{1}{e} - \frac{1}{{{e^2}}}\)

C. \(I = 1 + \frac{1}{e} + \frac{1}{{{e^2}}}\)

D. \(I = 1 + \frac{1}{e} - \frac{1}{{{e^2}}}\)

A. I = 1

B. I = 0

C. I = -1

D. Cả A, B, C đều sai.

A. I = 1

B. I = 2

C. I = -2

D. I = -1

A. \(I = \frac{2}{3}\)

B. \(I = \frac{3}{4}\)

C. \(I =  - \frac{3}{4}\)

D. \(I =  - \frac{2}{3}\)

A. P = 1 - ln 2

B. P = 2 - ln 2

C. P = 1 - 2ln 2

D. P = 2 - ln 2

A. \(P = e + \frac{1}{2}{e^2} + \frac{1}{2}{e^4}\)

B. \(P =  - e + \frac{1}{2}{e^2} + \frac{1}{2}{e^4}\)

C. \(P =  - e - \frac{1}{2}{e^2} + \frac{1}{2}{e^4}\)

D. \(P = e + \frac{1}{2}{e^2} - \frac{1}{2}{e^4}\)

A. \(P = \frac{7}{2} + \ln 2 - \ln 3\)

B. \(P = \frac{3}{2} + \ln 2 - \ln 3\)

C. \(P = \frac{5}{2} + \ln 2 - \ln 3\)

D. \(P = \frac{1}{2} + \ln 2 - \ln 3\)

A. \(P = \frac{3}{4} + \sqrt 3 \)

B. \(P = \frac{3}{4} + \frac{{\sqrt 3 }}{2}\)

C. \(P = \frac{3}{4} - \sqrt 3 \)

D. \(P = \frac{3}{4} - \frac{{\sqrt 3 }}{2}\)

A. \(P =  - \frac{4}{{65}}\)

B. \(P = \frac{{12}}{{65}}\)

C. \(P =  - \frac{{12}}{{65}}\)

D. \(P = \frac{4}{{65}}\)

A. \( - \frac{2}{3}\)

B. \( - \frac{2}{5}\)

C. \( - \frac{1}{3}\)

D. \( - \frac{1}{5}\)

A. 2

B. 4

C. 6

D. 8

A. \(\frac{9}{2}\)

B. \(\frac{7}{2}\)

C. \(\frac{11}{2}\)

D. \(\frac{13}{2}\)

A. \(\frac{{31\pi }}{5}\)

B. \(\frac{{32\pi }}{5}\)

C. \(\frac{{33\pi }}{5}\)

D. \(\frac{{34\pi }}{5}\)

A. \(\frac{{8\pi }}{{12}}\)

B. \(\frac{{8\pi }}{{13}}\)

C. \(\frac{{8\pi }}{{14}}\)

D. \(\frac{{8\pi }}{{15}}\)

A. \(\frac{{68\pi }}{{38}}\)

B. \(\frac{{68\pi }}{{37}}\)

C. \(\frac{{68\pi }}{{35}}\)

D. \(\frac{{68\pi }}{{34}}\)

A. \(\frac{{38\pi }}{{15}}\)

B. \(\frac{{38\pi }}{{14}}\)

C. \(\frac{{38\pi }}{{13}}\)

D. \(\frac{{38\pi }}{{12}}\)

A. \(\frac{{14\pi }}{{11}}\)

B. \(\frac{{15\pi }}{{11}}\)

C. \(\frac{{16\pi }}{{11}}\)

D. \(\frac{{17\pi }}{{11}}\)

A. \(\frac{\pi }{4}\left( {5{e^4} - 1} \right)\)

B. \(\frac{\pi }{4}\left( {5{e^4} + 1} \right)\)

C. \(\frac{\pi }{3}\left( {5{e^4} - 1} \right)\)

D. \(\frac{\pi }{3}\left( {5{e^4} + 1} \right)\)

A. \(\frac{{31\pi }}{5}\)

B. \(\frac{{32\pi }}{5}\)

C. \(\frac{{33\pi }}{5}\)

D. \(\frac{{34\pi }}{5}\)

A. \(\frac{{188\pi }}{{15}}\)

B. \(\frac{{186\pi }}{{15}}\)

C. \(\frac{{184\pi }}{{15}}\)

D. \(\frac{{182\pi }}{{15}}\)