|r Arcsin a dr 2

Q: Find the integral by using substitution: S(2sec?x) (tan(x) +3)dx

A:

Q: agrange's mea 2x in 0,

A:

Q: Use trigonometric substitution to find or evaluate the integral.

A: Substitute and differentiate the function to find the total differential.

Q: 2 tan? dæ

A: To find following integralI=∫0π22tan2x2dx

Q: Find or evalaute the integral by completing the square.

A:

Q: 2x + 1 dx J (x² + x + 2)²

A: Consider the given integral:

Q: Eva luate the integral and simplify S,"Inxdx 1. Sx'sinxdx 2.

A: We need to evaluate the integral: (A) I= ∫ lnx dx Integrating by parts: Using the formula: ∫ fg' =…

Q: fotº x X²re-dr

A:

Q: Evaluate the integral. | 19e" sin æ dæ +C NOTE: Enter the exact answer.

A:

Q: Evaluate the integral. |/ 5 sin-a da =| +C NOTE: Enter the exact answer in expanded form.

A:

Q: Evaluate the integral. 10 sinx dx + C NOTE: Enter the exact answer in expanded form.

A: We will solve this integral by integration by parts.

Q: Evaluate the integral. 9 sin e de cosp

A:

Q: Evaluate the integral. / 5 sin-z da + C NOTE: Enter the exact answer in expanded form.

A: Given: Let I=∫5 sin-1 x dx To Find:  To evaluate the given integral.

Q: Evaluate the integral. 15e* sin x d +C NOTE: Enter the exact answer.

A: We have to find the integration .

Q: Evaluate the integral. '1 (x14 Jo + 14*)dx

A:

Q: Evaluate the integrals

A:

Q: Find the integral ∫sin2xcos3xdx.

A:

Q: Find or evaluate the integral by completing the square

A: Firstly, we make coefficient of x^2= -1, then we add or subtract the  square of ( coefficient of…

Q: Evaluate the integral. 8 sin x dx + C NOTE: Enter the exact answer in expanded form.

A:

Q: 1 el/x dx x3

A:

Q: Evaluate L, sinh 3t (3

A: L13sinh3tUse the constant multiplication property of Laplace Transform:For function ft and constant…

Q: Find the indefinite integral. sin3 60 Vcos 60 de

A:

Q: 29. -4 3x/4 dx 寸

A: Substitute x/4 = t, then  dx4=dtSo,∫-113tdt4=4∫-113tdt

Q: Use trigonometric substitution to find or evaluate the integral                      ∫√(x2 − 9) / x…

A: Integration: ∫x2-9xdxsubstitute, x2-9=z              xx2-9dx=dz                   dx=x2-9xdz…

Q: Evaluate the integral. 2 sin ] x dx + C NOTE: Enter the exact answer in expanded form.

A:

Q: Evaluate the integral. -2x x2 NOTE: Enter the exact answer.

A:

Q: 1 r+ 2 2-4x +9 2x +5 dx e)) + 8x + 25 =dx V3-2x-x 1 1 dx 25+ 9x J100-x² ²

A: These three parts can be solved using the formulas of some special integrals

Q: Evaluate the integral. 2 sin x dx + C NOTE: Enter the exact answer in expanded form.

A: I=∫2sin-1xdx

Q: Evaluate the integrals

A: The given integral is ∫0πsin25rdr formula used: cos2t=1-2sin2t⇒sin2t=1-cos2t2

Q: Solve the integral. sec? x dx 5. tan? x + 4 tan x

A: Given integral is: Let tan x=u Then we get, sec2 x dx=du

Q: Evaluate the definite integral. rto arcsin (5x) VI– 25.r² dr

A:

Q: 22. tan o see'd de

A:

Q: 2. sin xcos³xdx

A:

Q: Evaluate the integral. Show each step. tan(/I)

A:

Q: | csc*(5x)cot*(5x)dx CSC

A:

Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

Q: 3 2. scc?x tanxdx

A: In this question we have to Solve the Integration.

Q: /2 dx by completingquam, show thad 353 スーx+

A: The integral function is ∫012dxx2-x+1=π33.

Q: For each integral, state which trigonometric substitution you would use to integrate by…

A:

Q: 2 (X-1) /2-x

A:

Q: evaluate the integral.

A:

Q: хра (q

A:

Q: Sin ーメス d.

A:

Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

A:

Q: 1+x

A:

Q: V9x2 + 25 1.

A: Given: ∫9x2+25x2dxFormula: ∫fg'=fg-∫f'g;  f=9x2+25   ;    g'=1x2f'=9x9x2+25;   g=-1xTherefore,…

Q: Find the integral. 6 +x xp.

A:

Q: 2) Evaluate each integral by dx V16-x

A: