4x V1- x³ dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 6. - dx (2 —…

A:

Q: 5 — 2х da J V12x – 4x2 12х —

A:

Q: 4. dr

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e*|…

A: Solution of above integral is written in step2.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x²e-9r³ dx +C

A: ∫x3e-x3dx

Q: Use geometry to evaluate the following integrals.

A:

Q: dx 2 X + 4

A: Topic = Integration

Q: (Sy?-8X46) dx =?

A: We need to evaluate ∫045x2-8x+6dx

Q: b.) 3 dx 5/3

A: We will use substitution method.

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: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: Decide whether the integral is improper. Explain your reasoning.

A:

Q: Evaluate the integral. -2x 50хе dx +C NOTE: Enter the exact answer.

A:

Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Evaluate the integral. -2x 11 x² d.x + C NOTE: Enter the exact answer.

A:

Q: Evaluate the integral. 37xe dx +C NOTE: Enter the exact answer.

A: We have to find the integral

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

A:

Q: Evaluate the integrals. Simplify your answers 5. S sec“x dx

A: The solution is given below.

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

A:

Q: 24x2 da Evaluate the integral:

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (7x – 6)° dx…

A: To evaluate the integral ∫7x-69dxFormula:∫xkdx=xk+1k+1+C

Q: Find or evaluate the integral by completing the square. dx x* + 12x² + 37

A:

Q: 9, dx 3+x4 1 3C

A:

Q: Evaluate the integral. 6 dx x4Vx² + 27 NOTE: Enter the exact answer.

A:

Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

A:

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

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4x²e" dx = +C

A: Given:          ∫4x2ex3dx         =4∫x2ex3dx substitute u=x3→dudx=3x2                     dx=13x2du…

Q: Evaluate the integral: x6(3x7 + 5)7 dx

A: Given,

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e- dx…

A: Use the appropriate substitution and simplify the Integral then integrate.

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A:

Q: Evaluate the integrals. Simplify your answers 4. ſx³V2x² + 1dx

A:

Q: Calculate the integral and express your answer in simplest form. / 9z(x? – 10)® - dæ 5

A: Given∫9xx2-1085dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | ¤(7+…

A: Introduction: "Integration is the process of determining the function from its derivative, and this…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9et + 8e-* dx…

A:

Q: Evaluate the integral: S (8x- + 16)dx Choose the most appropriate answer.

A: Solution is given below

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

A:

Q: Evaluate the integral. 11 x? -2.r e dx + C NOTE: Enter the exact answer.

A: topic - indefinite integration

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | (6x – 5)°…

A: As we know that the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 Given: I=∫6x-59dx  ...1

Q: Decide whether the integral is improper. Explain your reasoning.

A: Given- ∫12dxx3 To decide- Whether the given integeral is improper. Concept Used-  Using the power…

Q: EC) Determine the value of the definite integral -1 ² (4x³ + 5)³dx .

A: The given definite integral,     ∫-10x24x3+53dx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e"|…

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 2 +…

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Q: (15x? +10)*(30x)dx

A:

Q: Evaluate the integrals. Simplify your answers 3. S(12x5 + 14Vx² + 5csc²x)dx

A: ∫(12 x5 +14x25 +5csc2x)dx= 12 x66 + 14∫x25dx + -5 cotx= 2 x6 + 14 5x757 -5 cotx= 2x6 + 10x75 - 5cotx

Q: Evaluate the integral. ,15 dx = + C NOTE: Enter the exact answer.

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x (9x - 8)…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 5et + 2e-2 dx…

A: Given: ∫5ex+2e-x5ex-2e-xdxsubstitute  u=5ex-2x-x     then dudx=5ex+2x-x…

Q: x3 dxp (x²+4)7

A:

Q: Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski…

A:

Q: 16. V5 a csc? (3а? - 1) da 4

A: