Find the indefinite integrals of following if possible i. ∫−x^3 /(8 − (x^4/2)) dx  ii. ∫(4x^2+ 8?)^3 (x+1) dx

Q: In this problem, use properties of definite integrals. 9. Vx2 - x² - 1 dx. Evaluate

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: find the indefinite integral and check theresult by differentiation (4x − csc^2 x) dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the Indefinite Integral. x (mcx*)°

A: ln(x4)=4ln(x)   (ln xa=a lnx)(ln(x4))5=(4ln(x))5=1024(ln(x))5 ∫ dxx(ln(x4))5=∫…

Q: et*dx

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Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Answer

Q: Find the indefinite integral by making a change of variables.

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Q: indefinite

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Q: Find indefinite integral.

A: Consider the indefinite integral ∫t2dt In order to evaluate this indefinite integral, use the power…

Q: S sec*(3x) tan³ (3x) dx

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Q: Find the indefinite integral by making a change of variables. (Use C for the constant of…

A: Consider the given integral ∫(x + 2) √(6-x) dx.Let  u = (6-x)1/2 , then du = 1/2(6-x)-1/2 dx

Q: Find the indefinite integral and check the result by differentiation. 3 3 dx (5 – 9x2

A: Given               ∫x(5-9x2)3 dx

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. 30z4 10x ) dx

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Q: Find the indefinite integral using any method ∫ (3x3 + 4x) /(x2 + 1)2 dx

A: We have to evaluate

Q: /5 dx

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Q: Find the indefinite integral and check the result by differentiation. (5 – 4x²) dx

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Q: Find indefinite integral.

A: For an integral of the form ∫cf(x)dx where c is a constant the integral is equal to c∫f(x)dx. For…

Q: Find the indefinite integral and check the result by differentiation.

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Q: dx 3+Vzx

A: Let  3+√2x = u  √2x = u-3  2x / √2x = u-3  2dx / √2x = du  dx = √2xdu /2  dx = (u-3) du/2  Putting…

Q: Find the indefinite integral. ∫(x5 ln 3x) dx

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Q: sin' 2xcos 2.xdx 7 5.

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Q: Find the indefinite integral by making the appropriate change in the variable. ∫ (1+4x)/√(1+x+2x^2 )…

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Q: Find indefinite integral.

A: Let the given integral be y - y = ∫x12+3x-23 dx      Identity to be used - ∫xndx = xn+1n+1+C

Q: Evaluate the integrals ∫4 cosh (3x - ln 2) dx

A: Given: I=∫4cosh3x-ln2dx here, 4cosh is constant, so it will come out from integral

Q: evaluate the indefinite integral.

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Q: Use a table of integrals to find the indefinite integral ∫ 1 /(x2 + 4x + 8) dx

A: Consider the given integral ∫1x2+4x+8dx

Q: Find the indefinite integral by making a change of variables. ∫x√(3x − 4) dx

A: To evaluate ∫x3x-4dx

Q: Evaluate definite integral.

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Q: Without using a calculator evaluate the definite integral. | (10x - 6x +6) dx = Σ

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Q: Complete the indefinite integral by choosing the correct LETTER from the table: 1 cos(3p) cos(6p) dp…

A: Consider the following formula: 2cosacosb=cosa+b+cosa-b Consider the following integral:…

Q: Find the indefinite integral and check the result by differentiation                         ∫ 6x2 /…

A: Consider the following integral: ∫6x24x3-93dx Substitute 4x3-9=u→12x2dx=du→6x2dx=12du in the above…

Q: (7 + 2x)dx

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Q: Find the indefinite integral and check the result by differentiation.                ∫(x + 1)(3x −…

A: Simplify the integrand = (x + 1)(3x − 2) = 3x2 + 3x - 2x - 2 = 3x2 + x - 2

Q: Evaluate the indefinite integral et +1 dx et

A: Writing it into sum of two expansions then doing individual integration.

Q: Find the indefinite integral and check the result by differentiation.                     ∫(1 +…

A: ∫1+6x46 dx Put, 1+6x=t⇒0+61=dtdx⇒6=dtdx⇒6 dx=dt Therefore, ∫1+6x46 dx=∫t4 dt=t55+C=1+6x55+C

Q: Find the indefinite integral by the substitution method or state that it cannot be found by our…

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Q: In this problem, use properties of definite integrals. 11 (4x- x2) dx = (4x-x2) dx = , (x2 - 4x) dx…

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Q: Find the indefinite integral by making a change of variables.                                  ∫(x2…

A: Let the given integral be y - y = ∫x2-12x-1dx              ......................(1)Let,t2 = 2x-1…

Q: Evaluate the integrals ∫6 cosh (x/2 - ln 3) dx

A: ∫6coshx2-ln3 dx Put, x2-ln3=t⇒12-0=dtdx⇒12dx=dt⇒dx=2 dt

Q: Find the indefinite integral. (Use C for the constant of integration.) 6x + 3 dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the indefinite integral and check the result by differentiation.            ∫(9x8 − 2x − 6) dx

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Q: Find the indefinite integral and check the result by differentiation                 ∫5x 3√(1 − x2)…

A: Given integral is ∫5x31-x2dx.

Q: In this problem, use properties of definite integrals. (4x – x²) dx = 11 and - x²) dx = 5 what does…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cosh(8x) dx

A: We have to find the indefinite integral ∫cosh8x dx.

Q: (21 -x' - 2x + 3)dx Vs 2 ds

A: We use power rule to find antiderivative .

Q: 5. x3 + 2x – 6 dx x4 + 2x2

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Q: find the indefinite integral by the change of variable ∫ x²√1-x

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Q: Find the indefinite integral by using substitution followed by integration by parts. ∫x5ex2 dx

A: Given: ∫x5ex2dx

Q: Evaluate the definite integral. 1 cosh24x sinh 4x dx

A: Note that the following results are to be used for the given question: (i) sinh x=ex-e-x2 (ii) cosh…

Q: Find the indefinite integral by making a change of variables. ∫x√(x + 6) dx

A: The given integral is ∫xx+6dx

Q: Find the indefinite integral \int sin^(7)2xcos2xdx

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