Evaluate: $\int_{-\pi/2}^{\pi/2} \frac{\cos x}{1 + e^x} dx$
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Integrals - ISC Class 12 Mathematics Questions with Answers, Page 5
105 past-paper questions on Integrals from ISC Class 12 Mathematics papers (2027-2017), newest first, in full. Questions 81-100 are on this page, 20 to a page. Tap "Show answer" under a question to see its answer.
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Evaluate: $\int \tan^{-1}\sqrt{x} dx$
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Evaluate: $\int_0^{\pi/2} \frac{\sin^{3/2} x}{\sin^{3/2} x + \cos^{3/2} x} dx$
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Evaluate: $\int_0^\pi \frac{x \tan x}{\sec x + \tan x} dx$
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Evaluate: $\int \frac{\sec^2 x}{\operatorname{cosec}^2 x} dx$
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Evaluate: $\int \tan^{-1}\sqrt{\frac{1-x}{1+x}} \, dx$.
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Evaluate: $\int \frac{dx}{\sqrt{5x - 4x^2}}$.
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Evaluate: $\int \sin^3 x \cos^4 x \, dx$.
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Evaluate: $\int \frac{2x + 7}{x^2 - x - 2} \, dx$.
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Evaluate: $\int_{4}^{5} |x - 5| \, dx$.
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Evaluate:
$\int_0^\pi \frac{x\tan x}{\sec x + \tan x}\\,dx$
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Evaluate:
$\int_{-6}^3 |x + 3|\\,dx$
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Evaluate:
$\int \frac{x(1 + x^2)}{1 + x^4}\\,dx$
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Evaluate: $\int \frac{\sec^2 x}{\operatorname{cosec}^2 x}\\,dx$
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Evaluate: $\int \frac{6x+7}{\sqrt{(x-5)(x-4)}} \, dx$
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Evaluate: $\int_{0}^{\frac{\pi}{2}} \frac{\sin^{\frac{3}{2}} x}{\sin^{\frac{3}{2}} x + \cos^{\frac{3}{2}} x} \, dx$
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Evaluate: $\int \frac{3x+5}{x^3 - x^2 - x + 1} \, dx$
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Evaluate: $\int \frac{x-1}{\sqrt{x^2-x}} \, dx$.
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Evaluate: $\int \frac{x^3 + 5x^2 + 4x + 1}{x^2} \, dx$.
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Evaluate: $\int_{0}^{\pi/2} \frac{\cos^2 x}{1 + \sin x \cos x} \, dx$.
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