Let be continaous on ca,b]. Show that Ca,b]. Sham f(x) da l Ś Ifx) dx Hini: we the inequolit - Ifcal & fla) s Ife)l and eomparison y -Ifl & fx) S Ife)l and eamparison property of integrals.

Q: 5). S 13+1)E dx (Improper Integral)

A:

Q: Evaluate the following Integrals : 1f xstn(5x*)dx

A: Note: As per the bartleby we have to solve only first question please upload the question…

Q: 10 4. Evaluat a) b) c)

A: (a) Evaluate the given integral as follows. Therefore, the value of the given integral is,

Q: Find the integral S výy+9dy = ...

A: Explanation of the answer is as follows

Q: Evaluate the integrals

A: Given: ∫z+1z2(z2+4)dz

Q: u? du u+2 b)

A:

Q: 2文 A- dyda. adyda...

A: To evaluate the following integrals: A=∫02R∫0R2-x-R2dydx x=∫02R∫0R2-x-R2ydydx y=∫02R∫0R2-x-R2xdydx

Q: 11. Evaluate each integral. 3t2 - 13 + 6r2 dt 6) l secx tanx d x t 3 x²) dx

A: Given: The integral ∫3t2-t3+6t2tdt, To evaluate: The value of given integral.

Q: The Definite Integral as Area (x) dr 2. J Ax) dr 3. J Ax) dx 1. S M:x) dr 5. JAx) dx S Mx) dr 4. 6.…

A:

Q: Evaluate the integral. dx 3x2 + 11x + 6 0.

A:

Q: Find the integral. 2 dx 2 (A + C 1 B -3x + C 1 X. + C 3 D 3 + C

A:

Q: 1) Evaluate each integral by substitution: (In x) dx a)f(x+1)(x +2x)'dx b)fxVx² +9dx 「ズ dx 7x+5 dx…

A:

Q: Evaluate the integral. (sin Sx cos 5x dx 늘 cos 13x-5 cos 3x + C 26 1 cos 13x - 26 1 sin 13 x + C 26

A:

Q: .5. Compute integral -3 (2.p) -5 5.

A: Given: So, we have f(x)=0,   x≤2c,   x>2.

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

A:

Q: show that uuX)-X (1+x*J% I'sasolutionto integralequation ux)=X-sinh (x-t)u (t) dt

A:

Q: Sx²-6X+7)dx= Simpifled

A:

Q: By using u = In x, evaluate the integrals In x dx.

A: ∫x-1xlnx dx Now put, u=lnx⇒dudx=1x⇒du=1x dx

Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

A: