14.1 b) integral |2-x| dx x from 0 to 4 c) integral |x^2-2x| dx x from -1 to 3 d) integral sqrt(1-sin^2x) dx x from -pi to pi/2 e) integral x*sqrt(x^2-1)^2 dx where x from -1 to 2 f) integral |x^2+2x-3| dx x from -5 to 3 14.2 b) integral 1/(3x+4) dx where x from -1 to 1 c) integral x*sqrt(x^2+1) dx where x from 0 to 3 d) integral x^3*(2x^4-5)^6 dx where x from -1 to 1 e) integral |ln 5x|/x dx from 0.1 to e 1/2*(ln^2(5e)+ln^2 2) - (integral (ln 5x)/x dx where x from 0.2 to e) + (integral (ln 5x)/x dx where x from 0.1 to 0.2) g) integral 1/(x^2+2x+2) dx x from -1 to 0 h) integral sqrt(x)/(1+sqrt(x)) dx x from 0 to 1 14.3 a) integral x^2/(x+1)^4 dx x from 0 to 1 b) integral x/(sqrt(1+3x)) dx x from 0 to 5 c) integral sqrt(1-x^2) dx x from -1 to 1 14.4 a) integral 1 dx from -1 to 0 + integral sqrt(x) dx from 0 to 1 b) integral 1/cos^2x dx from 0 to pi/4 + integral 1/sin^2x dx from pi/4 to pi/2 14.5 integral sin x cos^2 x dx from 0 to pi/2 15.1 b) integral ln x dx from 1 to e c) integral sqrt(1-x^2)/x^2 dx x from 1/2 to 1 d) integral x^3*cos(x/2) dx from 0 to pi 15.2 a) integral (8x^2015+sin x) dx x from -1 to 1 c) integral (5x/(4+x^2)^2) dx x from -1 to 1 d) integral ((x^2+1)/(x^2-4)) dx x from 0 to 1 e) integral sin(x/2)/cos^2(x/2) dx x from 0 to pi/2 f) integral 1/(e^x-e^(-x)) dx where x from ln 2 to ln 3 g) integral (x+4)sqrt(x^2+8x+7) dx where x from -1 to 0 h) integral x*sin x*cos x dx where x from -pi to pi i) integral e^(-x)*cos (2x) dx x from 0 to pi