estion dx Using an appropriate substitution, the integral Jo 2+6x+14 is equal to: (Complete the square, if necessary).

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. 8x?e"" dx +C

A: Given the integral

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric…

A: integration with subsitution

Q: S In(5æ)dx Choose... dx /2x-a2 Choose...

A:

Q: 16-x2 dx

A: Given: I=∫16-x2xdx for evaluating given integral, we substitute x=4sinθ…

Q: b.) 3 dx 5/3

A: We will use substitution method.

Q: S dx √4x² - 49 x > 7

A:

Q: Evaluate the integral or state that it diverges. 00 dx Select the correct choice below and, if…

A:

Q: 5. Evaluate the integral. 1-x² /2-x²-y² 1 dz dy dx Vx²+y²

A: Explanation of the answer is as follows

Q: Using an appropriate substitution, the integral x³ csc²(x¹) cot(x4) is equal to -dx

A:

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. e8a dx +C

A: We have to evaluate the integral ∫e8x dx.

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

A:

Q: a. ²₁ (5x¹-2x³) dx

A:

Q: cosl Vx dx

A:

Q: а) Using an appropriate substitution, i) Evaluate fx*(1- x) dx. x2 Show that , (x-1)3 *+ In 2 . ii)…

A:

Q: (e2x-1)² dx e 2x

A: Use substitution method

Q: jre*dx = x*e* - n{ x*" 'dr -n|x"-le*dx %3D

A:

Q: .2 dx -2

A: To evaluate  ∫-2bx2-xdx where b is a positive number.

Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

A:

Q: Interchange the order and evaluate the integration, SL tv' dx dy.

A:

Q: Evaluate x² + 2x – 1 dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the integral. .8 2 dx 2 dx =D (Simplify your answer.)

A:

Q: re? 1 f (x) dx (f(x) – 3) dæ. Given that 9 and + dx = 5, find -

A: Solve the following

Q: Evaluate the integral. f32 d= -2 dx +C %3D NOTE: Enter the exact answer.

A: Let's find.

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: 5e*dx V9-12e3* +4e6x

A:

Q: Using an appropriate substitution, the integral [x² x² csc²(x³) cot(x³) is equal to - dx - In…

A: Given ∫x2 csc2(x3)cot(x3)dx Formula: ddx(cot x)=-csc2xddx(xn)=nxn-1 Consider ∫x2 csc2(x3)cot(x3)dx…

Q: | (x3 - x2 + 1)dx (x² + 2x + 2)²

A:

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

A:

Q: -34 da (r – 2)4/5

A:

Q: – 4) 6x? – 4x 9x2 dx

A:

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: Using an appropriate substitution, Evaluate fx*(1– x) dx. i) •3 x2 ii) Show that , dx = =- In 2 .…

A:

Q: Evaluate the integral. r3 dx NOTE: Enter the exact answer.

A: Topic = Integration

Q: Using an appropriate substitution, i) Evaluate fx*(1-x)³ dx. ii) Show that dx = + In 2 . (x-1)3 8

A:

Q: evaluate using substitution and then Integration by Parts.

A:

Q: За? dx is equivalent to Using substitution, the definite integral ... /x³ +1 c12 u żdu ... A •12 u…

A:

Q: 1 dx x/x? – 4

A: Put x=2 sec theta

Q: 3 x²(x³ + 1)īdx

A: Given : ∫x2x3+134dx

Q: Evaluate the integral. 9. dx (x² – 1)3/2 Need Help? Read It Submit Answer

A: ∫26dx(x2-1)3/2

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: dp p(-75+25p²) 2 S. Trigonometric Substitution

A:

Q: rst, select appropriate values for u and dv. | and dv =O dx ow, find du and v. Treat a and n as…

A:

Q: using an appropriate su OTE: Enter the exact answer. 4 | - | dx - 4 (1 – 2x) ¹ +C

A:

Q: Using a trigonometric substitution, the integral /- (9+x²)3/2 dx becomes:

A: here option B is true because

Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

A:

Q: Integrate using appropriate U-Substitution. You must label u and du: 4x²e¹-x³ dx u= du =

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Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

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Q: I. Evaluate | 4x² + 4x + 5 dx

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Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx

Q: ASK YOUR TEA Complete the table by identifying u and du for the integral. u = g(x) du = g'(x) dx |…

A: