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study help
mathematics
precalculus

Questions and Answers of Precalculus

Evaluate the integral. хе* dx. V1 + e*
Evaluate the integral. x2 dp. Vx² + 1
Evaluate the integral. dx x In x – x
Evaluate the integral. 4* + 10*
Evaluate the integral. x + arcsin x V1 – x2 - x2
Evaluate the integral. In(x + 1) dx x2
Evaluate the integral. ,2x dx 1 + e*
Evaluate the integral. dx 1 + 2e* – e-
Evaluate the integral. •V3 /1 + x² dx
Evaluate the integral. x? dx. x° + 3x' + 2
Evaluate the integral. =dx Vx + 1 + Jx
Evaluate the integral. (¬/3 In(tan x) dx 7/4 sin x cos x
Evaluate the integral. sin 2x dx 1 + costx
Evaluate the integral. I + x^ xp- VVx + 1
Evaluate the integral. dx
Evaluate the integral. de 1 + cos?0
Evaluate the integral. de 1 + cos 0 CoS
Evaluate the integral. dx x²/4x? – 1
Evaluate the integral. dx x* – 16
Evaluate the integral. x In x dx Vx² – 1
Evaluate the integral. |xx + c dx
Evaluate the integral. dx x + x/x
Evaluate the integral. dx х+xVx
Evaluate the integral. | (x + sin x)?dx
Evaluate the integral. x² sinh mx dx
Evaluate the integral. dx J x(x* + 1)
Evaluate the integral. -dx x/4x2 + 1
Evaluate the integral. dx /4x + 1 r2
Evaluate the integral. dx x/4x + 1
Evaluate the integral. x/2 - J1 - x² dx
Evaluate the integral. (x*(x – 1)-4 dx
Evaluate the integral. (x – 1)e* dx x2
Evaluate the integral. Se-x*dx
Evaluate the integral. V1 + e* dx
Evaluate the integral. х dx .3 1 +
Evaluate the integral. tan-1 dx x?
Evaluate the integral. O tan?0 d0
Evaluate the integral. т sin 6x cos 3x dx
Evaluate the integral. sec 0 tan 0 de – sec 0 sec?0
Evaluate the integral. *7/3 sin0 cot0 )п/6 sec 0
Evaluate the integral. (T/4 tan°0 sec20 do
Evaluate the integral. 1 + sin x dx 1 + cos x cos x
Evaluate the integral. *п/2 т/2 х dx 1 + cos?x -п/2
Evaluate the integral. *T/2 1 + 4 cot x dx 7/4 4 - cot x
Evaluate the integral. /3 — 2х — х2 dx
Evaluate the integral. ,3/x -dx х
Evaluate the integral. 1 + x dx х
Evaluate the integral. Lle* – 1| dx dx
Evaluate the integral. | In(x + Jx? – 1) dx
Evaluate the integral. sin Jat dt
Evaluate the integral. dx 1 + e*
Evaluate the integral. 3x? + 1 dx Jo x + x? + x + 1 .3
Evaluate the integral. ci 1 + 12t ·dt Jo 1 + 3t
Evaluate the integral. (1 + tan x)² sec x dx
Evaluate the integral. [ (1 + Jx )* dx
Evaluate the integral. In x dx x/1 + (ln x)²
Evaluate the integral. arctan x dx
Evaluate the integral. Je?dx
Evaluate the integral.
Evaluate the integral. ^4 evi dt J. Ji
Evaluate the integral. т t cos?t dt
Evaluate the integral. x? dx rV2/2 /1 – x²
Evaluate the integral. X sec x tan x dx
Evaluate the integral. In(1 + x²) dx
Evaluate the integral. | sin't cos*t dt
Evaluate the integral. 2х — 3 dx х + Зх
Evaluate the integral. dx x'Vx? – 1 .3 .2
Evaluate the integral. cos(1/x) x3
Evaluate the integral. х+ 2 dx J2 х? + Зх — 4
Evaluate the integral. t sin t cos t dt
Evaluate the integral. e arctan y dy -1 1 + y²
Evaluate the integral. dx (2x + 1)*
Evaluate the integral. dt t4 + 2
Evaluate the integral. sin'x dx cos x
Evaluate the integral. (Vy In y dy
Evaluate the integral. 1)v2 dx (Зх +
Evaluate the integral. cos x dx 1- sin x
(a) Use integration by parts to show that, for any positive integer n,
The rational number 22/7 has been used as an approximation to the number π since the time of Archimedes. Show that I 2(1 — х)4 dx 1 + x? 22
Find the area of the region under the given curve from 1 to 2. х2 + 1 y Зх — х2
Find the area of the region under the given curve from 1 to 2. 1 y = х3 + x
Use the substitution in Exercise 59 to transform the integrand into a rational function of t and then evaluate the integral. /2 sin 2x -dx 2 + cos x
Use the substitution in Exercise 59 to transform the integrand into a rational function of t and then evaluate the integral. 1 п/2 dx п/3 1 + sinх — сos x
Use the substitution in Exercise 59 to transform the integrand into a rational function of t and then evaluate the integral. 1 -dx 3 sin x – 4 cos x
Use the substitution in Exercise 59 to transform the integrand into a rational function of t and then evaluate the integral. dx 1 - cos x
Evaluateby considering several cases for the constant k. 1 dx. + k .2
Make a substitution to express the integrand as a rational function and then evaluate the integral. cosh t dt sinh?t + sinh*t
Make a substitution to express the integrand as a rational function and then evaluate the integral. dx 1 + e*
Make a substitution to express the integrand as a rational function and then evaluate the integral. e* ,2x - dx (e* – 2)(e2* + 1) (e*
Make a substitution to express the integrand as a rational function and then evaluate the integral. sec*t dt tan?t + 3 tant + 2
Make a substitution to express the integrand as a rational function and then evaluate the integral. sin x dx cos?x – 3 cos x
Make a substitution to express the integrand as a rational function and then evaluate the integral. e 2x e2x + 3e* + 2
Make a substitution to express the integrand as a rational function and then evaluate the integral. 1 + /x dx х
Make a substitution to express the integrand as a rational function and then evaluate the integral. dx (1 + Vx)?
Make a substitution to express the integrand as a rational function and then evaluate the integral. x3 dx х Уx2 + 1
Make a substitution to express the integrand as a rational function and then evaluate the integral. -dx 1 +.
Make a substitution to express the integrand as a rational function and then evaluate the integral. dx х? + x/x
Make a substitution to express the integrand as a rational function and then evaluate the integral. dx 2 Vx + 3 + x
Evaluate the integral. dx 3 – 1
Make a substitution to express the integrand as a rational function and then evaluate the integral.

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