3x+1 2-2x+2

Q: Find the integral ∫(3x+2)5dx.

A:

Q: Evaluate the indefinite integral. -2.5 -6t -8t -1) dt %3D 61-25 -8t-1) 8t 1) dt%3D 19-

A: To determine the value of the integral.

Q: Evaliate integral fx²(x"-3)

A: Integrate by substitutions

Q: Evaluate the integral. 4e*-³dx -12

A: Given, I=∫-1.224ex-3 dx To find : Integral value , I

Q: 7x² dx Vx² – 16 - +C

A:

Q: Evaluate the integral: 4 – x²dx

A: We need to compute the given integral ∫x34-x2dx

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 *

A:

Q: Evaluate the integral -3-2s ds. V-3-2s ds %3D

A:

Q: Evaluate the integral: ſ V16x4 - 24x² + 9dx

A: Topic:- integration

Q: 2 √₁² √√x² - 4x + 8

A: The solution is given in the next step.

Q: Evaluate the integral. 1//3 2-1 tA - 1 8 dt

A:

Q: Evaluate the integral: 3xe-/4 dr

A: we will do it by integration by parts ∫uv=u∫v-∫u'∫v

Q: 3x-4 *P 4

A:

Q: Evaluate the integral ∫√4−x2dx.

A:

Q: 2+ 6x

A: Integration: ∫xdx2+6x+9x2We need to write it in partial fraction form.

Q: Evaluate the integral ∫√2x−x2dx.

A:

Q: [(7x-2)e-* dx; -3x

A: The given question can be solved as shown in step2.

Q: 1 .2 VX /x²+2x +3

A:

Q: Evaluate the integral. 5 (2 + 2y)2 dy   4

A: Integrate the following function

Q: Use trig sub. Integral from 2-3 of 1/(t^2-1)^3/2

A: We have to integrate ∫231t2-132 dt.

Q: Evaluate the integral. 2 xP 2x² + 3x + 1

A:

Q: 5dx 3. S- V4e2x-36

A: Here we have to evaluate the integral:- I=∫5dx4e2x-36

Q: 32x+1 2x+3 メ→

A: Given,

Q: Evaluate the difinite integral. ∫12x3lnx4dx type an exact answer in simplified form.

A: We need to compute the value of the given integral,

Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

Q: Use substitution to find the indefinite integral. 7x+6 xp- (14x2 +24x)° 3 7x+6 1 (14x + 24x) ° + C…

A: Indefinite integral, taking c as an integral constant.

Q: Solve the integral. x4 – 2x3 + 2x² – 6x – 9 3. x(x² + 3)2

A: ∫x4-2x3+2x2-6x-9xx2+32dx Now partial fraction  =∫2x-2x2+3+2xx2+32-1xdx Apply linearity…

Q: Evaluate the integral 4-x² ^2+/4-x²-y² 2 (x² + y² + z²)³/²dzdydx -2 J-V4-x² J2-V4-x²-y²

A:

Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

Q: Find the integral. 1 + C 5x4 A 1 + C 5x4 В

A: Explanation of the solution is given below...

Q: Evaluate the integral [5x/( x²+1)(2x-2).

A: Given, the integral

Q: dx 32. Jox²+4x + 8

A:

Q: Consider the integral 7xe5x (35x + 49)2

A: Exponential integral is a special integral of the form  Ei(x)=∫exx dx

Q: Calculate the integral. 2x° (x + 2)²dæ

A:

Q: Evaluate the integral 2 2-x [1² 0 0 xdydx.

A:

Q: Evaluate the integral. dx 9 2 4 16x- 81

A: This question can be solved by the concept of special integrals.

Q: Evaluate the integral X3 + 6x2 + 3x

A: x3+6x2+3x take integration  y=∫ x3+6x2+3xdx y=∫  x3dx+∫  6x2dx+∫  3xdx

Q: Find the integral ∫ 2dx / 4sinx−3cosx+5.

A: We have given an integral;

Q: (x – 3) V 6x – x²dx -

A:

Q: Evaluate the integral S6x/( x²+1)(2x-2).

A:

Q: 12x 3 3 15 12 x4

A:

Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

A:

Q: Evaluate the integral ∫√9x2−1dx.

A: To evaluate the integral Rewriting the given function as  Since give function is of the form By…

Q: Evaluate the integral 2-x 2 [²² 0 0 xdydx.

A: Solve the integral ∫02 ∫02-x x dy dx. Concept used; Power rule of integration; ∫xndx=xn+1n+1+c

Q: Find the indefinite integral. Vx +8 xp- 3 7 2 Vx +8 6 6 4 3 - X- 35 + + C X- .3 15

A:

Q: b) Show that 2x2 +8x +14 2(x+2) +3 by completing the square. Hence, evaluate the integral dx. (x…

A: Given that: ∫3(x+2)2x2+8x+14dx