Integral of √1-sin2x/2

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: 31 -1 dx 7х — 6 -

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

A: Given: Let I=∫5x 1-x23 dx To Find: To evaluate the given integration and to check the result by…

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

A: Given               ∫x(5-9x2)3 dx

Q: Evalulate the integral of sin^-1(9x)

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Q: Solve the definite integral using usub

A: To integrate,

Q: Evaluate the definite integral. (4x 3 - 6x² – 3x) dx

A: From the given problem:   I=∫354x3-6x2-3xdx    As we know that:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: Evaluate the integral -4 sin(5x) sin(2x) dx

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

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Q: What is the indefinite integral of (7x5-5x4-pi3+ex-3)dx

A: We need to evaluate the following integral

Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: evaluate the definite integral of " sin^2{x} " from [-pi, pi]

A: We will use the reduction formula to solve given definite integral

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

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

Q: Evaluate the definite integral. '(15 - 6x) dx

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

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Q: Evaluate the integral. 9-sin 8x dx

A: To evaluate the integral

Q: Find the indefinite integral and check the result by differentiation                    ∫ x2(2x3 −…

A: Consider the following integral: ∫x22x3-14dx Substitute 2x3-1=u→6x2dx=du→x2dx=16du in the above…

Q: Evaluate the indefinite integral: ∫(sec2 θ) etan θ dθ

A: we have to find the indefinite integral ∫(sec2 θ) etan θ dθ

Q: find integral of sin2xln(tanx)

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Q: Evaluate the definite integral 2 x* +3x' -dx 1

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Q: Evaluate the definite integral •5 8 -dx

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Q: Evaluate the definite integral. 4 (x2 - 3) dx -4

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Q: Find the indefinite integral ∫tan5 x sec4 x dx

A: Given:∫tan5(x) sec4(x)dx

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

A: Explanation: Given that, ∫x2(6-x3)5dx   Substitute the  u=6-x3du=-3x2dxdx=du-3x2   Now put this…

Q: Find the Indefinite Integral. Sinx cossx xp-

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Q: Find the indefinite integral and check the result by differentiation. ∫3√x2 dx

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

A: ∫7x1-x23dxTake the constant out:  ∫a·fxdx=a·∫fxdx=7·∫x1-x23dxSubs u = 1-x2=7·∫ -12u3duTake the…

Q: Give 5 examples of definite integral with solution

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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: Find the indefinite integral.

A: Consider the given integral as ∫x+13x2+6xdx

Q: Evaluate the definite integral. rề arcsin (3x) dr VI - 9.x2

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Q: Find the indefinite integral and check the result by differentiation. 10x 5 -

A: To find the integral we use integration by substitution method.

Q: Evaluate the definite integral 7 10x² + 8 -dx 3

A: Given : Limit 3 to 7 , f(x) = ( 10x2 + 8 )/√x

Q: Evaluate the definite integral • 6 4x² + 2 -dx 2

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Q: Evaluate the definite integral

A: Given : ∫-212xdx

Q: Solve the integral| 7. tanz x sec4 x dx

A: Let I=∫tan52 x sec4 x dx. First, rewrite this integral as the following. Use the identity…

Q: Find the indefinite integral and check the results by differentiation 4x² + 3)²dx

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Q: f(-7 sinx + 3cosx)dx 4

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Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: |(4x2 + 3)?dx

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Q: Evaluate the indefinite integral.

A: It is required to evaluate the indefinite integral:

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 results by differentiation |(4x² + 3)*dx

A: Given integral is∫4x2+32dx. ∫4x2+32dx=∫16x4+24x2+9dx=16x55+24x33+9x+C=16x55+8x3+9x+C

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

A: Given integral is ∫5x31-x2dx.

Q: [ sec5x tan 5xdx

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Q: 2cosx sin6x dx

A: topic-integration

Q: Evaluate the definite integral. In 3 6e-X cosh x dx

A: Given integral is- I=∫0ln36e-xcoshxdx where coshx=ex+e-x2 Thus,…

Q: Use the Definition of a Definite Integral or Theorem 4 from Section 5.2 to find the exact value of…

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Q: Evaluate the definite integral. 2 sin-(x) -dr 1 - a² -1

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Q: Find the indefinite integral and check the result by differentiation                    ∫x(5x2 + 4)3…

A: The given integral ∫x5x2+43dx can be evaluated as, ∫x5x2+43dx=∫x5x23+35x22×4+35x216+43dx…