Using Integrals to Find Areas and Volumes Calculating Areas using Integrals Calculating Volume using Integrals Deriving Formulae Related to Circles using Integration Symmetrical Areas …

Please see below. The curves intersect where f(x) = g(x), so we need to solve x^2-4x+3=-x^2+2x+3 2x^2-6x = 0 at 0 and 3. We need to integrate from 0 to 3. To make sure we get the …

Solve the other integral: intdx/sin^4x=intcsc^4xdx intcsc^2xcsc^2xdx Recalling that 1+cot^2x=csc^2x, rewrite: int (1+cot^2x)csc^2xdx This can be solved with a simple …

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Find an equation of the line through (3,7) and parallel to y=3x-4? Find the area of the region inside these curves? Jill is twice as old as her brother and half as old as her father. In 22 years, her …

int_1^0 12usqrt(u^2+1)du=-(8sqrt2-4)=4-8sqrt2 The two provided integrals look almost exactly the same. In the first, the integrand is in terms of x, in the latter, the integrand has all x replaced …

Apr 13, 2018 · How do you find the indefinite integral of ∫sin 4xe^sin2x dx?

Mar 25, 2018 · 2872, 1/8 (sin48-sin16) int_2^6 (8x^3+20x-2)dx= (8/4x^4+20/2x^2-2x)|_2^6 = (2x^4+10x^2-2x)|_2^6= (2 (1296)+10 (36)-12)- (2 (16)+10 (4)-4)=2940-68=2872 int_2^6cos (8x ...

How do you find the integral of ∫ dx/ (1-x)^2 from negative infinity to 0?

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