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A: The objective of the question is evaluate the indefinite and definite integral.
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A: These questions are related to definite integral, we will solve them using given information.
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A: Given: Let I=∫csc2 xcot3 x dx To Find: To evaluate the given integral.
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A: To find the indefinite integral∫x cos (x2)esin (x2)dxFormula:ddx(xk)=kxk-1ddx sin x= cos x∫exdx=ex+C
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A: ∫02082x+1dx Consider, ∫82x+1dx=8∫12x+112dx=8∫2x+1-12 dx=812·2x+1-12+1-12+1+C ∵∫ax+bn…
Q: Review of Definite & Indefinite Integrals Evaluate the definite integral. sin(3t)dt
A: Integration of sin(at) = - (cos(at) / a) + C
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Q: Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a) |…
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A: Detailed solution is given below.
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Q: Find the indefinite integral. (Remember the constant of integration.) | (3 + x + 4e*) dx
A: I=∫ 3+x+4ex dxI=∫3 dx +∫x dx +∫ 4ex dxI=3∫dx +∫x dx +4∫ ex dxI=3x+x22+4 ex +C
Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…
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Q: 3. Evaluate the definite integral.
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A: To evaluate the given definite integral.
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Q: Evaluate the definite integral. Enter exact values. 2 cot -1(x) dx 1+ x2 1
A: Here we have to evaluate definite integral .
Q: Find the general indefinite integral. (Use C for the constant of the indefinite integral.) 32x3 dx
A: To find the general indefinite integral.
Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…
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Q: .. a) Show that sinh(2x) sinh(x). = 2 sinh(x) cosh(x), using the exponential definitions for cosh(x)…
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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.) x…
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Q: valuate the indefinite integral. ∫9sin^5(x)cos(x)dx
A: Given that the integral we need to evaluate that integral. let I=∫9sin^5(x)cos(x)dx let us…
Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…
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