Evaluate the following integral. Expand the integrand and write the resulting integral. | dx (Type an exact answer.)

Q: t² - Vi + Vi csc(t) dt

A:

Q: Evaluate the.integral (x+y+2 dz olyde

A: Evaluate the given integral as follows. ∫01∫01∫01x2+y2+z2 dz dy dx=∫01∫01∫01x2+y2+z2 dz dy…

Q: dx from a = 0 to b = 1 et + e-

A: Integrals in some cases can be simplified to standard integrals with relevant substitution. For…

Q: dx V1+ e2=

A:

Q: 4x V1- x³ dx

A: We will evaluate the given integral.

Q: 3.S dx C. ez? D. ex А. х В.-х? cos x 4. S9 dx V1+sin x A. V1+sinx B. cosx C. sinx D. 1+ sinx

A:

Q: Evaluate the following integral. x² dx 2 1₁x²0x (225+x²)²

A:

Q: 7 31) S dx + 6x + 25 A) sin-15 sin B) tan- tan-1 2 1 tan- 1 tan-1 D) I tan 4 1 -1 C) 2 4

A:

Q: •πT (2sinx + 3cosx + 1)dx

A:

Q: -x Jez е sin x dx

A:

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: 3 2 dx 2 x² – 1

A:

Q: Write the integral in terms of u and du. Then evaluate.

A: To solve the indefinite integral.

Q: 1 I. 1+ Vx xp:

A:

Q: Evaluate the integral. LG 5t4 -k dt 1 + t5 1 + t

A: The given integral is: I=∫01 51+t2 j + 5t41+t5 k  dt

Q: b 2 2 чих nx dx их

A:

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: 383. dx (x² + 1)?

A: