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IntegrationQuestion and Answers: Page 325

Question Number 20537 Answers: 0 Comments: 0

∫((2e^x +5)/(5e^x +2))dx

$\int \frac{2 e^{x} + 5}{5 e^{x} + 2} d x$

Question Number 20524 Answers: 1 Comments: 0

∫x^x dx

$\int x^{x} d x$

Question Number 20471 Answers: 1 Comments: 2

Find the surface area of a solid that is common part of two cylinders x^2 +y^2 =a^2 , y^2 +z^2 =a^2 . Compute the volume also.

$F i n d t h e s u r f a c e a r e a o f a s o l i d$ $t h a t i s c o m m o n p a r t o f t w o$ $c y l i n d e r s x^{2} + y^{2} = a^{2}, y^{2} + z^{2} = a^{2} .$ $C o m p u t e t h e v o l u m e a l s o .$

Question Number 20468 Answers: 1 Comments: 0

∫(dx/(sin^4 x−cos^4 x))

$\int \frac{d x}{\sin^{4} x - \cos^{4} x}$

Question Number 20467 Answers: 1 Comments: 0

∫(asin^2 x+bcos^2 x)dx

$\int (a \sin^{2} x + b \cos^{2} x) d x$

Question Number 20466 Answers: 1 Comments: 0

∫((sin xcos xdx)/(sin^4 x+cos^4 x))

$\int \frac{\sin x \cos x d x}{\sin^{4} x + \cos^{4} x}$

Question Number 20465 Answers: 1 Comments: 0

∫((cos 2xdx)/(sin^2 2x+8))

$\int \frac{\cos 2 x d x}{\sin^{2} 2 x + 8}$

Question Number 20456 Answers: 0 Comments: 1

∫cot^4 xdx

$\int \cot^{4} x d x$

Question Number 20455 Answers: 0 Comments: 1

∫sec^6 xdx

$\int {s e c}^{6} x d x$

Question Number 20454 Answers: 0 Comments: 1

∫sec^3 xdx

$\int \sec^{3} x d x$

Question Number 20453 Answers: 0 Comments: 0

∫(dx/(3+4sin x))

$\int \frac{d x}{3 + 4 \sin x}$

Question Number 20452 Answers: 0 Comments: 0

∫(dx/(3+2sin x+cos x))

$\int \frac{d x}{3 + 2 \sin x + \cos x}$

Question Number 20451 Answers: 1 Comments: 0

∫sin^3 xcos^4 xdx

$\int {s i n}^{3} x \cos^{4} x d x$

Question Number 20450 Answers: 1 Comments: 0

∫sin^4 xcos^3 xdx

$\int \sin^{4} x \cos^{3} x d x$

Question Number 20404 Answers: 0 Comments: 0

∫_0 ^( π/4) tan(θ)ln(1−tan(θ))dθ=?

$\int_{0}^{π / 4} t a n (θ) l n (1 - t a n (θ)) d θ = ?$

Question Number 20390 Answers: 1 Comments: 0

∫sin^5 xdx

$\int \sin^{5} x d x$

Question Number 20389 Answers: 1 Comments: 0

∫sin^4 xdx

$\int \sin^{4} x d x$

Question Number 20388 Answers: 1 Comments: 0

∫((2sin x+3cos x)/(7sin x−2cos x))

$\int \frac{2 \sin x + 3 \cos x}{7 \sin x - 2 \cos x}$

Question Number 20387 Answers: 2 Comments: 0

∫sin pxcos qxdx

$\int \sin p x \cos q x d x$

Question Number 20386 Answers: 1 Comments: 0

∫(√(1−a^2 x^2 dx))

$\int \sqrt{1 - a^{2} x^{2} d x}$

Question Number 20385 Answers: 1 Comments: 0

∫(√(16−9x^2 dx))

$\int \sqrt{16 - 9 x^{2} d x}$

Question Number 20384 Answers: 1 Comments: 0

∫((x^3 dx)/((2+3x)^2 ))

$\int \frac{x^{3} d x}{{(2 + 3 x)}^{2}}$

Question Number 20383 Answers: 1 Comments: 0

∫(dx/(x(√(2+(x)^(1/3) ))))

$\int \frac{d x}{x \sqrt{2 + {(x)}^{\frac{1}{3}}}}$

Question Number 20309 Answers: 0 Comments: 0

∫x^x dx

$\int x^{x} d x$

Question Number 20293 Answers: 1 Comments: 0

∫(√(((a+x)/x)dx))

$\int \sqrt{\frac{a + x}{x} d x}$

Question Number 20292 Answers: 1 Comments: 0

∫(dx/((x+1)^(1/2) +(√(x−1))))

$\int \frac{d x}{{(x + 1)}^{\frac{1}{2}} + \sqrt{x - 1}}$

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