Evaluate the inde finite definite or integral. r 8x3 -%% + q Vx dx 12 Sın (3x) dx

Q: Evaluate: (answer in fractional form så S sinº x dx 0

A: To find the value of given definite integral ∫0π2sin6xdx

Q: (b) Guess the value of dx when n is an arbitrary positive integer.

A:

Q: The value of the integral | (|x+1|+|x) dx is а) 9 b) 1 c) 0 d) 4

A: The given integral is  I=∫-22x+1+xdx To solve the given integral we need a result that is ∫x…

Q: find area between t =- 1.5 and t = 1.5  take df = 17

A: We have to find out given area between -1.5 and 1.5

Q: C. e3x dx

A: Given- ∫01e3xdx To Find- The value of the above definite integral.

Q: Find dy for the given values of x and dx. y = x3 - 4x2 + 2x + 1; x = 8, dx = -0.3 O-37 O 39 O-39 O…

A:

Q: Q10. Solve the following DE (use any method) (6xy)dx + (4y? + 9x²)dy = 0

A:

Q: Determine how large the number a has to be so that dx

A: To solve this problem we will first solve the integration and then use the concept of linear…

Q: dx

A: We have to evaluate the integration ∫2x+4xdx using basic formulas.

Q: Evaluate the definite integrals -3 a) dx b) 1. 2 c) dx d) x² dx da

A:

Q: 7. (a) cosh?1 (b) 2 sinh² 20

A:

Q: -15 хdx 5. Jo Vx+1

A: The definite integral is defined to be exactly the limit . Recall;      ∫(ax+b)ndx=…

Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

A:

Q: dx Find the value of if it exists. x2 – 1 1 8.

A: I=∫1∞dxx2-1=∫1∞dxx+1x-1=12∫1∞2dxx+1x-1=12∫1∞x+1-x-1x+1x-1

Q: 2x + x? +3 -dx (x² +1)² X¯ +

A: Let I= ∫012x3+x2+3(x2+1)2dx ⇒I= ∫012x3(x2+1)2dx+  ∫01x2+1(x2+1)2dx+∫012(x2+1)2dx Let's say  ⇒I= I1+…

Q: What is the value of x? 13x T. 65 Sn

A: The figure of the circle is given by To evaluate : The value of x

Q: S 2x(x² - 2x)dx

A:

Q: 3x + 5 Evaluate dx. Enter your answer as an exact fraction if necessary.

A: Given integral is I=∫143x+5xdx

Q: In5 (x + 1)²e* dx

A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: x +1+ tanh? (4) dx x2

A:

Q: Hence or otherwise, evaluate the following integral (Hint: Use completing square) -2r2+3r dx

A: We use the result ∫-∞∞ e-t2dt=π to evaluate the integral ∫-∞∞ e-2x2+3xdx .Convert the integral ∫-∞∞…

Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: 2 + dx

A: Given :∫5x-3x2+2x4dx

Q: Q5) show that the following equation is exact and solve it . ylnx²dy +dx xӀпу?dx +— dy 1 %3D x2 y

A: given equation ylnx2dy+y2xdxxlny2dx+x2ydy=1 show that the following equation is exact and solve it

Q: – 1)*dx

A:

Q: S 2x(x² – 2x)dx

A: Solving the problem by finding the value of the integration.

Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the con 7dx…

A: We have to evaluate the integral I=∫7dxxx2+42

Q: u du Formula Answer dx 6. S x In x+x

A: ∫1xlnx+xdx

Q: e of x to the nearest tent 8. 12 8

A: Using Pythagoras theorem , Hypotenuse2 = base2 + perpendicular2

Q: Se lnx? cix = In x 13. A 1 + K 3 + K C. ei+ K D 2 -eln x + K -3113

A:

Q: „In2 ** The sinhxdx is equal to A none of these B 1 D 1 4

A: The value of the integral ∫sinhxdx=coshx+c Hence the value of the integral is given by:…

Q: Determine how large the number a has to be so that dx Submit Answer

A:

Q: dx 2x x2

A: Let I=∫1-12xdxx2

Q: (e) L\x³| dx Answer must be in terms of numbers, no letters, no absolute value sign, but do NOT…

A: Given :         a) ∫-12|x3| dxb)∫x4x-16dx

Q: Determine how large the number a has to be so that dx

A:

Q: Evaluate the definite integral (15a? – 2a + 10)dæ - : 3

A:

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

A:

Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx

Q: Construct a table of values for the following equation as shown. x= y - 5 for integral values of y…

A: To construct the table for the given values.

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

A:

Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Determine how large the number a has to be so that dx

A: Given that: ∫a∞1x2+1dx<0.005

Q: Evaluate the definite integral. S (x - 6)2 dx Select one: O A. 152 3 B. _ 64 C. 152 D. 20

A: I hope that this solution will help you .Thankyou. Best regards.

Q: 7. J (x2+1)2 8. S (1-x2)1/2

A:

Q: 2х dx e2x

A: We have to solve the integral

Q: Sx(2x – 3)®dx

A: Solution

Q: Evaluate. 7 dx 312

A:

Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

A:

Q: S(2x – 3) (3x + 4)dx

A: To evaluate the given integral.